메뉴 건너뛰기




Volumn 10, Issue , 1997, Pages 101-176

Visualizing Molecular Phase Space: Nonstatistical Effects in Reaction Dynamics

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MOLECULAR DYNAMICS; REACTION RATES;

EID: 0031479825     PISSN: 10693599     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (14)

References (196)
  • 2
    • 0004026847 scopus 로고
    • Dover, New York
    • R. C. Tolman, The Principles of Statistical Mechanics, Dover, New York, 1938. H. Eyring, D. Henderson, B. J. Stover, and E. M. Eyring, Statistical Mechanics and Dynamics, Wiley, New York, 1982.
    • (1938) The Principles of Statistical Mechanics
    • Tolman, R.C.1
  • 7
    • 0642265430 scopus 로고
    • Vibrational Energy Redistribution Across a Heavy Atom
    • 1 Band of Propyne. P. M. Felker and A. H. Zewail, in Jet Spectroscopy and Molecular Dynamics, J. M. Hollas and D. Phillips, Eds., Blackie Academic, London, 1995, pp. 222-308. Ultrafast Dynamics of IVR in Molecules and Reactions.
    • (1989) Chem. Phys. , vol.139 , pp. 171
    • Lederman, S.M.1    Lopez, V.2    Fairen, V.3    Voth, G.A.4    Marcus, R.A.5
  • 8
    • 0041428943 scopus 로고
    • 1 Band of Propyne
    • 1 Band of Propyne. P. M. Felker and A. H. Zewail, in Jet Spectroscopy and Molecular Dynamics, J. M. Hollas and D. Phillips, Eds., Blackie Academic, London, 1995, pp. 222-308. Ultrafast Dynamics of IVR in Molecules and Reactions.
    • (1994) J. Chem. Phys. , vol.101 , pp. 2642
    • Davis, M.J.1    Bethardy, G.A.2    Lehmann, K.K.3
  • 9
    • 0002445724 scopus 로고
    • Ultrafast Dynamics of IVR in Molecules and Reactions
    • J. M. Hollas and D. Phillips, Eds., Blackie Academic, London
    • 1 Band of Propyne. P. M. Felker and A. H. Zewail, in Jet Spectroscopy and Molecular Dynamics, J. M. Hollas and D. Phillips, Eds., Blackie Academic, London, 1995, pp. 222-308. Ultrafast Dynamics of IVR in Molecules and Reactions.
    • (1995) Jet Spectroscopy and Molecular Dynamics , pp. 222-308
    • Felker, P.M.1    Zewail, A.H.2
  • 11
    • 84932885579 scopus 로고
    • B. L. Van der Waerden, Ed., Dover, New York, Introduction
    • B. L. Van der Waerden, in Sources of Quantum Mechanics, B. L. Van der Waerden, Ed., Dover, New York, 1967, pp. 1-57. Introduction.
    • (1967) Sources of Quantum Mechanics , pp. 1-57
    • Van Der Waerden, B.L.1
  • 12
    • 0004255576 scopus 로고
    • University Science Books, Mill Valley, CA
    • See, for example, D. A. MacQuarrie, Quantum Chemistry, University Science Books, Mill Valley, CA, 1983.
    • (1983) Quantum Chemistry
    • MacQuarrie, D.A.1
  • 14
    • 0002460114 scopus 로고
    • Reactive Scattering Cross Sections. III. Quasiclassical and Semiclassical Methods
    • R. B. Bernstein, Ed., Plenum Press, New York
    • Some useful reviews of quasiclassical and semiclassical dynamics include: D. G. Truhlar and J. T. Muckerman, in Atom-Molecule Collision Theory. R. B. Bernstein, Ed., Plenum Press, New York, 1979, pp. 505-566. Reactive Scattering Cross Sections. III. Quasiclassical and Semiclassical Methods.
    • (1979) Atom-Molecule Collision Theory , pp. 505-566
    • Truhlar, D.G.1    Muckerman, J.T.2
  • 15
    • 0000678233 scopus 로고
    • The Classical Trajectory Approach to Reactive Scattering
    • M. Baer, Ed., CRC Press, Boca Raton, FL
    • L. M. Raff and D. L. Thompson, in Theory of Chemical Reaction Dynamics, M. Baer, Ed., CRC Press, Boca Raton, FL, 1986, Vol. III, pp. 1-121. The Classical Trajectory Approach to Reactive Scattering.
    • (1986) Theory of Chemical Reaction Dynamics , vol.3 , pp. 1-121
    • Raff, L.M.1    Thompson, D.L.2
  • 16
    • 4043159131 scopus 로고
    • Semiclassical Reactive Scattering
    • M. Baer, Ed., CRC Press, Boca Raton, FL
    • L. M. Raff and D. L. Thompson, in Theory of Chemical Reaction Dynamics, M. Baer, Ed., CRC Press, Boca Raton, FL, 1986, Vol. III, pp. 1-121. The Classical Trajectory Approach to Reactive Scattering. M. S. Child, in Theory of Chemical Reaction Dynamics, M. Baer, Ed., CRC Press, Boca Raton, FL, 1986, Vol. III, pp. 247-279. Semiclassical Reactive Scattering.
    • (1986) Theory of Chemical Reaction Dynamics , vol.3 , pp. 247-279
    • Child, M.S.1
  • 17
    • 0039752702 scopus 로고
    • Comparison of Close Coupling and Quasiclassical Trajectory Calculations for Rotational Energy Transfer in the Collision of Two HF Molecules on a Realistic Potential Surface
    • See, for example, D. W. Schwenke, D. G. Truhlar, and M. E. Coltrin, J. Chem. Phys., 87, 983 (1987). Comparison of Close Coupling and Quasiclassical Trajectory Calculations for Rotational Energy Transfer in the Collision of Two HF Molecules on a Realistic Potential Surface.
    • (1987) J. Chem. Phys. , vol.87 , pp. 983
    • Schwenke, D.W.1    Truhlar, D.G.2    Coltrin, M.E.3
  • 19
    • 85005722921 scopus 로고
    • Unimolecular Reactions Revisited
    • S. A. Rice and P. Gaspard, Isr. J. Chem., 30, 23 (1990). Unimolecular Reactions Revisited.
    • (1990) Isr. J. Chem. , vol.30 , pp. 23
    • Rice, S.A.1    Gaspard, P.2
  • 20
    • 33947292909 scopus 로고
    • The Semiclassical Nature of Atomic and Molecular Collisions
    • W. H. Miller, Ace. Chem. Res., 4, 161 (1971). The Semiclassical Nature of Atomic and Molecular Collisions.
    • (1971) Ace. Chem. Res. , vol.4 , pp. 161
    • Miller, W.H.1
  • 23
    • 0001885028 scopus 로고
    • A Simple Prediction of Quantal Resonances in Collinear Reactive Scattering
    • E. Pollak and M. S. Child, Chem. Phys., 60, 23 (1981). A Simple Prediction of Quantal Resonances in Collinear Reactive Scattering.
    • (1981) Chem. Phys. , vol.60 , pp. 23
    • Pollak, E.1    Child, M.S.2
  • 26
    • 0041000624 scopus 로고
    • Spectroscopy of Resonances in Three-Dimensional Atom-Diatom Reactive Scattering
    • E. Pollak, J. Phys. Chem., 90, 3619 (1986). Spectroscopy of Resonances in Three-Dimensional Atom-Diatom Reactive Scattering.
    • (1986) J. Phys. Chem. , vol.90 , pp. 3619
    • Pollak, E.1
  • 27
    • 0041361350 scopus 로고
    • Periodic Orbits and Quantum Localization in the van der Waals System CO-Ar
    • L. Zachilas and S. C. Farantos, Chem. Phys., 154, 55 (1991). Periodic Orbits and Quantum Localization in the van der Waals System CO-Ar.
    • (1991) Chem. Phys. , vol.154 , pp. 55
    • Zachilas, L.1    Farantos, S.C.2
  • 29
    • 0001585119 scopus 로고
    • Reduced-Dimensionality Quantum Calculations of the Thermal Rate Coefficient for the Cl + HCl → HCl + Cl Reaction: Comparison with Centrifugal-Sudden Distorted Wave, Coupled Channel Hyperspherical, and Experimental Results
    • Y. Sun, J. M. Bowman, G. C. Schatz, A. R. Sharp, and J. N. L. Connor, J. Chem. Phys., 92, 1677 (1990). Reduced-Dimensionality Quantum Calculations of the Thermal Rate Coefficient for the Cl + HCl → HCl + Cl Reaction: Comparison with Centrifugal-Sudden Distorted Wave, Coupled Channel Hyperspherical, and Experimental Results.
    • (1990) J. Chem. Phys. , vol.92 , pp. 1677
    • Sun, Y.1    Bowman, J.M.2    Schatz, G.C.3    Sharp, A.R.4    Connor, J.N.L.5
  • 30
    • 0000906250 scopus 로고
    • Dynamic Interpretation of Atomic and Molecular Spectra in the Chaotic Regime
    • H. S. Taylor and J. Zakrzewski, Phys. Rev., A38, 3732 (1988). Dynamic Interpretation of Atomic and Molecular Spectra in the Chaotic Regime. See also references therein.
    • (1988) Phys. Rev. , vol.A38 , pp. 3732
    • Taylor, H.S.1    Zakrzewski, J.2
  • 31
    • 0003570366 scopus 로고
    • S. F. Tuan, Ed., Benjamin Cummings, Menlo Park, CA
    • J. J. Sakurai, Modern Quantum Mechanics, S. F. Tuan, Ed., Benjamin Cummings, Menlo Park, CA, 1985.
    • (1985) Modern Quantum Mechanics
    • Sakurai, J.J.1
  • 32
    • 0000723423 scopus 로고
    • Periodic Orbits and Spectra
    • W. L. Hase, Ed., JAI Press, New York
    • E. J. Heller, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, New York, 1992, Vol. 1., pp. 165-213. Periodic Orbits and Spectra. M. A. Sepulveda and E. J. Heller, J. Chem. Phys., 101, 8004 (1994). Semiclassical Calculation and Analysis of Dynamic Systems with Mixed Phase Space.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 165-213
    • Heller, E.J.1
  • 33
    • 0011665267 scopus 로고
    • Semiclassical Calculation and Analysis of Dynamic Systems with Mixed Phase Space
    • E. J. Heller, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, New York, 1992, Vol. 1., pp. 165-213. Periodic Orbits and Spectra. M. A. Sepulveda and E. J. Heller, J. Chem. Phys., 101, 8004 (1994). Semiclassical Calculation and Analysis of Dynamic Systems with Mixed Phase Space.
    • (1994) J. Chem. Phys. , vol.101 , pp. 8004
    • Sepulveda, M.A.1    Heller, E.J.2
  • 34
    • 33845551595 scopus 로고
    • Current Status of Transition-State Theory
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1983) J. Phys. Chem. , vol.87 , pp. 2664
    • Truhlar, D.G.1    Hase, W.L.2    Hynes, J.T.3
  • 35
    • 0000651090 scopus 로고
    • Variational Transition State Theory
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1984) Annu. Rev. Phys. Chem. , vol.35 , pp. 159
    • Truhlar, D.G.1    Garrett, B.C.2
  • 36
    • 33845375987 scopus 로고
    • Theory, Experiment, and Reaction Rates. A Personal View
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1986) J. Phys. Chem. , vol.90 , pp. 3460
    • Marcus, R.A.1
  • 37
    • 0001619505 scopus 로고
    • Recent Developments in the Theory of Surface Diffusion
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1987) Annu. Rev. Phys. Chem. , vol.38 , pp. 413
    • Doll, J.D.1    Voter, A.F.2
  • 38
    • 0002667922 scopus 로고
    • Molecular Dynamics and Monte Carlo Simulation of Rare Events
    • J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1987) Multiple Time Scales , pp. 419-436
    • Berne, B.J.1
  • 39
    • 0347193736 scopus 로고
    • Reaction-Rate Theory: Fifty Years after Kramers
    • D. G. Truhlar, W. L. Hase, and J. T. Hynes, J. Phys. Chem., 87, 2664 (1983). Current Status of Transition-State Theory. D. G. Truhlar and B. C. Garrett, Annu. Rev. Phys. Chem., 35, 159 (1984). Variational Transition State Theory. R. A. Marcus, J. Phys. Chem., 90, 3460 (1986). Theory, Experiment, and Reaction Rates. A Personal View. J. D. Doll and A. F. Voter, Annu. Rev. Phys. Chem., 38, 413 (1987). Recent Developments in the Theory of Surface Diffusion. B. J. Berne, in Multiple Time Scales, J. U. Brackbill and B. I. Cohen, Eds., Academic Press, Orlando, FL, 1987, pp. 419-436. Molecular Dynamics and Monte Carlo Simulation of Rare Events. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys., 62, 251 (1990). Reaction-Rate Theory: Fifty Years After Kramers.
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 251
    • Hänggi, P.1    Talkner, P.2    Borkovec, M.3
  • 40
    • 33847016379 scopus 로고
    • The Definition of Reaction Coordinates for Reaction-Path Dynamics
    • G. A. Natanson, B. C. Garrett, T. N. Truong, T. Joseph, and D. G. Truhlar, J. Chem. Phys., 94, 7875 (1991). The Definition of Reaction Coordinates for Reaction-Path Dynamics. D.-h. Lu, M. Zhao, and D. G. Truhlar, J. Comput. Chem., 12, 376 (1991). Projection Operator Method for Geometry Optimization with Constraints.
    • (1991) J. Chem. Phys. , vol.94 , pp. 7875
    • Natanson, G.A.1    Garrett, B.C.2    Truong, T.N.3    Joseph, T.4    Truhlar, D.G.5
  • 41
    • 84986532503 scopus 로고
    • Projection Operator Method for Geometry Optimization with Constraints
    • G. A. Natanson, B. C. Garrett, T. N. Truong, T. Joseph, and D. G. Truhlar, J. Chem. Phys., 94, 7875 (1991). The Definition of Reaction Coordinates for Reaction-Path Dynamics. D.-h. Lu, M. Zhao, and D. G. Truhlar, J. Comput. Chem., 12, 376 (1991). Projection Operator Method for Geometry Optimization with Constraints.
    • (1991) J. Comput. Chem. , vol.12 , pp. 376
    • Lu, D.-H.1    Zhao, M.2    Truhlar, D.G.3
  • 42
    • 0001652236 scopus 로고
    • Statistical Approximations in Collision Theory
    • W. H. Miller, Ed., Plenum Press, New York
    • P. Pechukas, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 269-321. Statistical Approximations in Collision Theory.
    • (1976) Dynamics of Molecular Collisions , Issue.PART B , pp. 269-321
    • Pechukas, P.1
  • 43
    • 34547832633 scopus 로고
    • Cylindrical Manifolds in Phase Space as Essential Mediators of Chemical Reaction Dynamics and Kinetics. II. Numerical Considerations and Applications to Models with Two Degrees of Freedom
    • N. De Leon, M. A. Mehta, and R. Q. Topper, J. Chem. Phys., 94, 8329 (1991). Cylindrical Manifolds in Phase Space as Essential Mediators of Chemical Reaction Dynamics and Kinetics. II. Numerical Considerations and Applications to Models with Two Degrees of Freedom.
    • (1991) J. Chem. Phys. , vol.94 , pp. 8329
    • De Leon, N.1    Mehta, M.A.2    Topper, R.Q.3
  • 44
    • 0000223867 scopus 로고
    • 2O
    • 2O. H. W. Schranz, S. Nordholm, and G. Nyman, J. Chem. Phys., 94, 1487 (1991). An Efficient Microcanonical Sampling Procedure for Molecular Systems. H. W. Schranz, J. Phys. Chem., 95, 4581 (1991). On the Microcanonical Weight Function.
    • (1990) J. Chem. Phys. , vol.93 , pp. 6767
    • Nyman, G.1    Nordholm, S.2    Schranz, H.W.3
  • 45
    • 36448999054 scopus 로고
    • An Efficient Microcanonical Sampling Procedure for Molecular Systems
    • 2O. H. W. Schranz, S. Nordholm, and G. Nyman, J. Chem. Phys., 94, 1487 (1991). An Efficient Microcanonical Sampling Procedure for Molecular Systems. H. W. Schranz, J. Phys. Chem., 95, 4581 (1991). On the Microcanonical Weight Function.
    • (1991) J. Chem. Phys. , vol.94 , pp. 1487
    • Schranz, H.W.1    Nordholm, S.2    Nyman, G.3
  • 46
    • 0042067213 scopus 로고
    • On the Microcanonical Weight Function
    • 2O. H. W. Schranz, S. Nordholm, and G. Nyman, J. Chem. Phys., 94, 1487 (1991). An Efficient Microcanonical Sampling Procedure for Molecular Systems. H. W. Schranz, J. Phys. Chem., 95, 4581 (1991). On the Microcanonical Weight Function.
    • (1991) J. Phys. Chem. , vol.95 , pp. 4581
    • Schranz, H.W.1
  • 47
    • 36149006492 scopus 로고
    • Reciprocal Relations in Irreversible Processes. I
    • L. Onsager, Phys. Rev., 37, 405 (1931). Reciprocal Relations in Irreversible Processes. I. L. Onsager, Phys. Rev., 38, 2265 (1931). Reciprocal Relations in Irreversible Processes. II. See also Ref. 32.
    • (1931) Phys. Rev. , vol.37 , pp. 405
    • Onsager, L.1
  • 48
    • 36149006040 scopus 로고
    • Reciprocal Relations in Irreversible Processes. II
    • See also Ref. 32
    • L. Onsager, Phys. Rev., 37, 405 (1931). Reciprocal Relations in Irreversible Processes. I. L. Onsager, Phys. Rev., 38, 2265 (1931). Reciprocal Relations in Irreversible Processes. II. See also Ref. 32.
    • (1931) Phys. Rev. , vol.38 , pp. 2265
    • Onsager, L.1
  • 51
    • 33748374124 scopus 로고
    • Statistical Mechanics of Isomerization Dynamics in Liquids and the Transition State Approximation
    • D. Chandler, J. Chem. Phys., 68, 2959 (1978). Statistical Mechanics of Isomerization Dynamics in Liquids and the Transition State Approximation. J. A. Montgomery, Jr., D. Chandler, and B. J. Berne, J. Chem. Phys., 70, 4056 (1979). Trajectory Analysis of a Kinetic Theory for Isomerization Dynamics in Condensed Phases.
    • (1978) J. Chem. Phys. , vol.68 , pp. 2959
    • Chandler, D.1
  • 52
    • 0001538813 scopus 로고
    • Trajectory Analysis of a Kinetic Theory for Isomerization Dynamics in Condensed Phases
    • D. Chandler, J. Chem. Phys., 68, 2959 (1978). Statistical Mechanics of Isomerization Dynamics in Liquids and the Transition State Approximation. J. A. Montgomery, Jr., D. Chandler, and B. J. Berne, J. Chem. Phys., 70, 4056 (1979). Trajectory Analysis of a Kinetic Theory for Isomerization Dynamics in Condensed Phases.
    • (1979) J. Chem. Phys. , vol.70 , pp. 4056
    • Montgomery Jr., J.A.1    Chandler, D.2    Berne, B.J.3
  • 53
    • 0000891571 scopus 로고
    • Intramolecular Rate Processes: Isomerization Dynamics and the Transition to Chaos
    • N. De Leon and B. J. Berne, J. Chem. Phys., 75, 3495 (1981). Intramolecular Rate Processes: Isomerization Dynamics and the Transition to Chaos.
    • (1981) J. Chem. Phys. , vol.75 , pp. 3495
    • De Leon, N.1    Berne, B.J.2
  • 54
    • 33947346402 scopus 로고
    • Theories of Unimolecular Gas Reactions at Low Pressures. II
    • O. K. Rice and H. C. Rampsperger, J. Am. Chem. Soc., 50, 617 (1928). Theories of Unimolecular Gas Reactions at Low Pressures. II.
    • (1928) J. Am. Chem. Soc. , vol.50 , pp. 617
    • Rice, O.K.1    Rampsperger, H.C.2
  • 55
    • 33947557008 scopus 로고
    • Studies in Homogeneous Gas Reactions II. Introduction of Quantum Theory
    • L. S. Kassel, J. Phys. Chem., 32, 1065 (1928). Studies in Homogeneous Gas Reactions II. Introduction of Quantum Theory.
    • (1928) J. Phys. Chem. , vol.32 , pp. 1065
    • Kassel, L.S.1
  • 56
    • 33645831109 scopus 로고
    • The Kinetics of the Recombination of Methyl Radicals and Iodine Atoms
    • R. A. Marcus and O. K. Rice, J. Phys. Colloid Chem., 55, 894 (1951). The Kinetics of the Recombination of Methyl Radicals and Iodine Atoms. R. A. Marcus, J. Chem. Phys., 20, 352 (1952). Lifetimes of Active Molecules. I. H. M. Rosenstock, M. B. Wallenstein, A. L. Wahrhaftig, and H. Eyring, Proc. Natl. Acad. Sci. USA, 38, 667 (1952). Absolute Rate Theory for Isolated Systems and the Mass Spectra of Polyatomic Molecules.
    • (1951) J. Phys. Colloid Chem. , vol.55 , pp. 894
    • Marcus, R.A.1    Rice, O.K.2
  • 57
    • 0142234486 scopus 로고
    • Lifetimes of Active Molecules
    • R. A. Marcus and O. K. Rice, J. Phys. Colloid Chem., 55, 894 (1951). The Kinetics of the Recombination of Methyl Radicals and Iodine Atoms. R. A. Marcus, J. Chem. Phys., 20, 352 (1952). Lifetimes of Active Molecules. I. H. M. Rosenstock, M. B. Wallenstein, A. L. Wahrhaftig, and H. Eyring, Proc. Natl. Acad. Sci. USA, 38, 667 (1952). Absolute Rate Theory for Isolated Systems and the Mass Spectra of Polyatomic Molecules.
    • (1952) J. Chem. Phys. , vol.20 , pp. 352
    • Marcus, R.A.1
  • 58
    • 0001566922 scopus 로고
    • Absolute Rate Theory for Isolated Systems and the Mass Spectra of Polyatomic Molecules
    • R. A. Marcus and O. K. Rice, J. Phys. Colloid Chem., 55, 894 (1951). The Kinetics of the Recombination of Methyl Radicals and Iodine Atoms. R. A. Marcus, J. Chem. Phys., 20, 352 (1952). Lifetimes of Active Molecules. I. H. M. Rosenstock, M. B. Wallenstein, A. L. Wahrhaftig, and H. Eyring, Proc. Natl. Acad. Sci. USA, 38, 667 (1952). Absolute Rate Theory for Isolated Systems and the Mass Spectra of Polyatomic Molecules.
    • (1952) Proc. Natl. Acad. Sci. USA , vol.38 , pp. 667
    • Rosenstock, I.H.M.1    Wallenstein, M.B.2    Wahrhaftig, A.L.3    Eyring, H.4
  • 65
    • 2142746284 scopus 로고
    • The Activated Complex in Chemical Reactions
    • H. Eyring, J. Chem. Phys., 3, 107 (1935). The Activated Complex in Chemical Reactions.
    • (1935) J. Chem. Phys. , vol.3 , pp. 107
    • Eyring, H.1
  • 66
    • 37049147605 scopus 로고
    • Some Applications of the Transition State Method to the Calculation of Reaction Velocities, Especially in Solution
    • M. G. Evans and M. Polanyi, Trans. Faraday Soc., 31, 875 (1935). Some Applications of the Transition State Method to the Calculation of Reaction Velocities, Especially in Solution.
    • (1935) Trans. Faraday Soc. , vol.31 , pp. 875
    • Evans, M.G.1    Polanyi, M.2
  • 69
    • 0001807834 scopus 로고
    • Dynamics of Activationless Reactions in Solution
    • See, for example, B. Bagchi and G. R. Fleming, J. Phys. Chem., 94, 10 (1990). Dynamics of Activationless Reactions in Solution. G. S. Tyndall and A. R. Ravishankara, Int. J. Chem. Kinet., 23, 483 (1991). Atmospheric Oxidation of Reduced Sulfur Species.
    • (1990) J. Phys. Chem. , vol.94 , pp. 10
    • Bagchi, B.1    Fleming, G.R.2
  • 70
    • 0026170702 scopus 로고
    • Atmospheric Oxidation of Reduced Sulfur Species
    • See, for example, B. Bagchi and G. R. Fleming, J. Phys. Chem., 94, 10 (1990). Dynamics of Activationless Reactions in Solution. G. S. Tyndall and A. R. Ravishankara, Int. J. Chem. Kinet., 23, 483 (1991). Atmospheric Oxidation of Reduced Sulfur Species.
    • (1991) Int. J. Chem. Kinet. , vol.23 , pp. 483
    • Tyndall, G.S.1    Ravishankara, A.R.2
  • 71
    • 36549092073 scopus 로고
    • Unimolecular Reactions in Isolated and Collisional Systems: Deuterium Isotope Effect in the Photoisomerization of Stilbene
    • S. H. Courtney, M. W. Balk, L. A. Philips, S. P. Webb, D. Yang, D. H. Levy, and G. R. Fleming, J. Chem. Phys., 89, 6697 (1988). Unimolecular Reactions in Isolated and Collisional Systems: Deuterium Isotope Effect in the Photoisomerization of Stilbene.
    • (1988) J. Chem. Phys. , vol.89 , pp. 6697
    • Courtney, S.H.1    Balk, M.W.2    Philips, L.A.3    Webb, S.P.4    Yang, D.5    Levy, D.H.6    Fleming, G.R.7
  • 72
    • 0001403001 scopus 로고
    • Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1963) J. Chem. Phys. , vol.40 , pp. 1946
    • Bunker, D.L.1
  • 73
    • 0010461757 scopus 로고
    • Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1968) J. Chem. Phys. , vol.48 , pp. 772
    • Bunker, D.L.1    Pattengill, M.2
  • 74
    • 0006562028 scopus 로고
    • Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1981) J. Chem. Phys. , vol.75 , pp. 3809
    • Hase, W.J.1    Wolf, R.J.2
  • 75
    • 0000868267 scopus 로고
    • A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1982) J. Chem. Phys. , vol.77 , pp. 4447
    • Chandler, D.W.1    Farneth, W.E.2    Zare, R.N.3
  • 76
    • 0001262747 scopus 로고
    • Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1984) J. Chem. Phys. , vol.81 , pp. 2233
    • Syage, J.A.1    Felker, P.M.2    Zewail, A.H.3
  • 77
    • 36549103288 scopus 로고
    • Intramolecular Conversions over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1986) J. Chem. Phys. , vol.85 , pp. 4980
    • Borchardt, D.B.1    Bauer, S.H.2
  • 78
    • 0024280971 scopus 로고
    • Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products
    • Nov. 7
    • See, for example, D. L. Bunker, J. Chem. Phys., 40, 1946 (1963). Monte Carlo Calculations. IV. Further Studies of Unimolecular Dissociation. D. L. Bunker and M. Pattengill, J. Chem. Phys., 48, 772 (1968). Monte Carlo Calculations. VI. A Re-evaluation of the RRKM Theory of Unimolecular Reaction Rates. W. J. Hase and R. J. Wolf, J. Chem. Phys., 75, 3809 (1981). Trajectory Studies of Model HCCH → H + HCC Dissociation. II. Angular Momenta and Energy Partitioning and the Relation to Non-RRKM Dynamics. D. W. Chandler, W. E. Farneth, and R. N. Zare, J. Chem. Phys., 77, 4447 (1982). A Search for Mode-Selective Chemistry: The Unimolecular Dissociation of t-Butyl Hydroperoxide Induced by Vibrational Overtone Excitation. J. A. Syage, P. M. Felker, and A. H. Zewail, J. Chem. Phys., 81, 2233 (1984). Picosecond Dynamics and Photoisomerization of Stilbene in Supersonic Beams. II. Reaction Rates and Potential Energy Surface. D. B. Borchardt and S. H. Bauer, J. Chem. Phys., 85, 4980 (1986). Intramolecular Conversions Over Low Barriers. VII. The Aziridine Inversion - Intrinsically Non-RRKM. A. H. Zewail and R. B. Bernstein, Chem. Eng. News, Nov. 7, 1988, p. 24. Real-Time Laser Femtochemistry: Viewing the Transition from Reagents to Products.
    • (1988) Chem. Eng. News , pp. 24
    • Zewail, A.H.1    Bernstein, R.B.2
  • 79
    • 0001319144 scopus 로고
    • From Force Fields to Dynamics: Classical and Quantal Paths
    • See, for example, D. G. Truhlar and M. S. Gordon, Science, 249, 491 (1990). From Force Fields to Dynamics: Classical and Quantal Paths.
    • (1990) Science , vol.249 , pp. 491
    • Truhlar, D.G.1    Gordon, M.S.2
  • 83
    • 36449000642 scopus 로고
    • A Theory for the Activated Barrier Crossing Rate Constant in Systems Influenced by Space and Time Dependent Friction
    • G. R. Haynes, G. A. Voth, and E. Pollak, J. Chem. Phys., 101, 7811 (1994). A Theory for the Activated Barrier Crossing Rate Constant in Systems Influenced by Space and Time Dependent Friction.
    • (1994) J. Chem. Phys. , vol.101 , pp. 7811
    • Haynes, G.R.1    Voth, G.A.2    Pollak, E.3
  • 84
    • 36549102219 scopus 로고
    • Reactive Islands as Essential Mediators of Unimolecular Conformational Isomerization: A Dynamical Study of 3-Phospholene
    • C. C. Marston and N. De Leon, J. Chem. Phys., 91, 3392 (1989). Reactive Islands as Essential Mediators of Unimolecular Conformational Isomerization: A Dynamical Study of 3-Phospholene.
    • (1989) J. Chem. Phys. , vol.91 , pp. 3392
    • Marston, C.C.1    De Leon, N.2
  • 85
    • 36849123019 scopus 로고
    • Calculation of the Rate of Elementary Association Reactions
    • E. Wigner, J. Chem. Phys., 5, 720 (1937). Calculation of the Rate of Elementary Association Reactions.
    • (1937) J. Chem. Phys. , vol.5 , pp. 720
    • Wigner, E.1
  • 88
    • 0001816458 scopus 로고
    • Quantitative Universality for a Class of Nonlinear Transformations
    • M. J. Feigenbaum, J. Stat. Phys., 19, 25 (1978). Quantitative Universality for a Class of Nonlinear Transformations. M. J. Feigenbaum, J. Stat. Phys., 21, 669 (1979). The Universal Metric Properties of Nonlinear Transformations.
    • (1978) J. Stat. Phys. , vol.19 , pp. 25
    • Feigenbaum, M.J.1
  • 89
    • 0347447535 scopus 로고
    • The Universal Metric Properties of Nonlinear Transformations
    • M. J. Feigenbaum, J. Stat. Phys., 19, 25 (1978). Quantitative Universality for a Class of Nonlinear Transformations. M. J. Feigenbaum, J. Stat. Phys., 21, 669 (1979). The Universal Metric Properties of Nonlinear Transformations.
    • (1979) J. Stat. Phys. , vol.21 , pp. 669
    • Feigenbaum, M.J.1
  • 90
    • 0000241853 scopus 로고
    • Deterministic Nonperiodic Flow
    • E. N. Lorenz, J. Atmos. Sci., 20, 130 (1963). Deterministic Nonperiodic Flow. E. N. Lorenz, Nature, 352, 241 (1991). Dimension of Weather and Climate Attractors.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130
    • Lorenz, E.N.1
  • 91
    • 0026311728 scopus 로고
    • Dimension of Weather and Climate Attractors
    • E. N. Lorenz, J. Atmos. Sci., 20, 130 (1963). Deterministic Nonperiodic Flow. E. N. Lorenz, Nature, 352, 241 (1991). Dimension of Weather and Climate Attractors.
    • (1991) Nature , vol.352 , pp. 241
    • Lorenz, E.N.1
  • 92
    • 0042712795 scopus 로고
    • Chaos in Hamiltonian Systems
    • I. C. Percival, Proc. R. Soc. Lond., A413, 131 (1987). Chaos in Hamiltonian Systems.
    • (1987) Proc. R. Soc. Lond. , vol.A413 , pp. 131
    • Percival, I.C.1
  • 93
    • 84957234450 scopus 로고
    • How Random Is a Coin Toss?
    • J. Ford, Physics Today, 36, 40 (1983). How Random Is a Coin Toss?
    • (1983) Physics Today , vol.36 , pp. 40
    • Ford, J.1
  • 94
    • 0000528561 scopus 로고
    • Bottlenecks to Intramolecular Energy Transfer and the Calculation of Relaxation Rates
    • M. J. Davis, J. Chem. Phys., 83, 1016 (1985). Bottlenecks to Intramolecular Energy Transfer and the Calculation of Relaxation Rates.
    • (1985) J. Chem. Phys. , vol.83 , pp. 1016
    • Davis, M.J.1
  • 95
    • 0009114988 scopus 로고
    • Flux and Differences in Action for Continuous Time Hamiltonian Systems
    • R. S. MacKay and J. D. Meiss, J. Phys., 19A, L225 (1986). Flux and Differences in Action for Continuous Time Hamiltonian Systems.
    • (1986) J. Phys. , vol.19 A
    • MacKay, R.S.1    Meiss, J.D.2
  • 96
    • 0040697285 scopus 로고
    • Barrier Recrossing in Surface Diffusion: A Phase-Space Perspective
    • R. E. Gillilan and W. P. Reinhardt, Chem. Phys. Lett., 156, 478 (1989). Barrier Recrossing in Surface Diffusion: A Phase-Space Perspective.
    • (1989) Chem. Phys. Lett. , vol.156 , pp. 478
    • Gillilan, R.E.1    Reinhardt, W.P.2
  • 97
    • 0003808029 scopus 로고
    • Gauthier-Villars, Paris
    • H. Poincaré, Les Méthodes Nouvelles de la Méchanique Céleste, Tome I-III, Gauthier-Villars, Paris, 1899. H. Poincaré, New Methods of Celestial Mechanics, Vols. I-III, NASA Technical Translation, NASA TT F-452, Dover Publications, New York, 1957. H. Poincaré, New Methods of Celestial Mechanics, Vois. I-III, English translation, D. L. Goroff, Ed., AIP, Woodbury, NY, 1993. (Poincaré is pronounced pwa-ca-ray').
    • (1899) Les Méthodes Nouvelles de la Méchanique Céleste , vol.1-3
    • Poincaré, H.1
  • 98
    • 0003909276 scopus 로고
    • NASA Technical Translation, NASA TT F-452, Dover Publications, New York
    • H. Poincaré, Les Méthodes Nouvelles de la Méchanique Céleste, Tome I-III, Gauthier-Villars, Paris, 1899. H. Poincaré, New Methods of Celestial Mechanics, Vols. I-III, NASA Technical Translation, NASA TT F-452, Dover Publications, New York, 1957. H. Poincaré, New Methods of Celestial Mechanics, Vois. I-III, English translation, D. L. Goroff, Ed., AIP, Woodbury, NY, 1993. (Poincaré is pronounced pwa-ca-ray').
    • (1957) New Methods of Celestial Mechanics , vol.1-3
    • Poincaré, H.1
  • 99
    • 0003909276 scopus 로고
    • English translation, D. L. Goroff, Ed., AIP, Woodbury, NY, Poincaré is pronounced pwa-ca-ray'
    • H. Poincaré, Les Méthodes Nouvelles de la Méchanique Céleste, Tome I-III, Gauthier-Villars, Paris, 1899. H. Poincaré, New Methods of Celestial Mechanics, Vols. I-III, NASA Technical Translation, NASA TT F-452, Dover Publications, New York, 1957. H. Poincaré, New Methods of Celestial Mechanics, Vois. I-III, English translation, D. L. Goroff, Ed., AIP, Woodbury, NY, 1993. (Poincaré is pronounced pwa-ca-ray').
    • (1993) New Methods of Celestial Mechanics , vol.1-3
    • Poincaré, H.1
  • 103
    • 0642296146 scopus 로고
    • A Picture Book of Stochasticity
    • AIP Conf. Proc. S. Jorna, Ed., AIP, Woodbury, NY
    • J. Ford, in Topics in Nonlinear Dynamics, AIP Conf. Proc. 46, S. Jorna, Ed., AIP, Woodbury, NY, 1978, pp. 121-146. A Picture Book of Stochasticity.
    • (1978) Topics in Nonlinear Dynamics , vol.46 , pp. 121-146
    • Ford, J.1
  • 104
    • 13844257675 scopus 로고
    • Poincaré, Celestial Mechanics, DynamicalSystems Theory and "Chaos."
    • P. Holmes, Physics Rep., 193, 138 (1990). Poincaré, Celestial Mechanics, DynamicalSystems Theory and "Chaos."
    • (1990) Physics Rep. , vol.193 , pp. 138
    • Holmes, P.1
  • 107
    • 84990647586 scopus 로고
    • The Intrinsic Stochasticity of Near-Integrable Hamiltonian Systems
    • L. Krlín, Fortschr. Phys., 37, 735 (1989). The Intrinsic Stochasticity of Near-Integrable Hamiltonian Systems.
    • (1989) Fortschr. Phys. , vol.37 , pp. 735
    • Krlín, L.1
  • 110
    • 0003585573 scopus 로고
    • Springer-Verlag, New York
    • S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 1990. S. Wiggins, Chaotic Transport in Dynamical Systems, Springer-Verlag, New York, 1992.
    • (1992) Chaotic Transport in Dynamical Systems
    • Wiggins, S.1
  • 111
    • 0001026070 scopus 로고
    • On the Geometry of Transport in Phase Space I. Transport in k-Degree-of-Freedom Hamiltonian Systems, 2 ≤ k < ∞
    • S. Wiggins, Physica, D44, 471 (1990). On the Geometry of Transport in Phase Space I. Transport in k-Degree-of-Freedom Hamiltonian Systems, 2 ≤ k < ∞.
    • (1990) Physica , vol.D44 , pp. 471
    • Wiggins, S.1
  • 114
    • 0000595654 scopus 로고    scopus 로고
    • Studies of Non Linear Problems
    • University of Chicago Press
    • E. Fermi, J. Pasta, and S. Ulam, Los Alamos National Laboratory Document LA-1940, May 1955. A reprint may be found in E. Fermi, Collected Papers: Note e Memorie, University of Chicago Press, Vol. II, pp. 977-988. Studies of Non Linear Problems.
    • Collected Papers: Note e Memorie , vol.2 , pp. 977-988
    • Fermi, E.1
  • 115
    • 0001450585 scopus 로고
    • A New Invariant for Transitive Dynamical Systems
    • A. N. Kolmogorov, Dokl. Akad. Nauk. SSSR, 119, 861 (1958). A New Invariant for Transitive Dynamical Systems.
    • (1958) Dokl. Akad. Nauk. SSSR , vol.119 , pp. 861
    • Kolmogorov, A.N.1
  • 118
    • 0001851184 scopus 로고
    • On Invariant Curves of Area-Preserving Mappings on an Annulus
    • J. Moser, Nachr. Akad. Wiss. Göttingen, 1, 1 (1962). On Invariant Curves of Area-Preserving Mappings on an Annulus.
    • (1962) Nachr. Akad. Wiss. Göttingen , vol.1 , pp. 1
    • Moser, J.1
  • 120
    • 0012097571 scopus 로고
    • A Universal Instability of Many-Dimensional Oscillator Systems
    • B. V. Chirikov, Phys. Rep., 52, 263 (1979). A Universal Instability of Many-Dimensional Oscillator Systems.
    • (1979) Phys. Rep. , vol.52 , pp. 263
    • Chirikov, B.V.1
  • 121
    • 0002447210 scopus 로고
    • Nouvelles Recherches sur les Systemes Dynamiques
    • In French
    • G. D. Birkhoff, Mem. Pont. Acad. Sci. Now. Lyncaei, 1, 85 (1935) (In French). Nouvelles Recherches sur les Systemes Dynamiques.
    • (1935) Mem. Pont. Acad. Sci. Now. Lyncaei , vol.1 , pp. 85
    • Birkhoff, G.D.1
  • 122
    • 0041120268 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Smale's technically challenging contributions are nicely summarized by S. S. Cairns, Differential and Combinatorial Topology, Princeton University Press, Princeton, NJ, 1965.
    • (1965) Differential and Combinatorial Topology
    • Cairns, S.S.1
  • 123
    • 0000237730 scopus 로고
    • Universal Behavior in Families of Area-Preserving Maps
    • J. M. Greene, R. S. MacKay, F. Vivaldi, and M. J. Feigenbaum, Physica, 3D, 468 (1981). Universal Behavior in Families of Area-Preserving Maps.
    • (1981) Physica , vol.3 D , pp. 468
    • Greene, J.M.1    MacKay, R.S.2    Vivaldi, F.3    Feigenbaum, M.J.4
  • 124
    • 48549109299 scopus 로고
    • Transport in Hamiltonian Systems
    • R. S. MacKay, J. D. Meiss, and I. C. Percival, Physica, 13D, 55 (1984). Transport in Hamiltonian Systems. R. S. MacKay, J. D. Meiss, and I. C. Percival, Physica, 27D, 1 (1987). Resonances in Area-Preserving Maps.
    • (1984) Physica , vol.13 D , pp. 55
    • MacKay, R.S.1    Meiss, J.D.2    Percival, I.C.3
  • 125
    • 0002265116 scopus 로고
    • Resonances in Area-Preserving Maps
    • R. S. MacKay, J. D. Meiss, and I. C. Percival, Physica, 13D, 55 (1984). Transport in Hamiltonian Systems. R. S. MacKay, J. D. Meiss, and I. C. Percival, Physica, 27D, 1 (1987). Resonances in Area-Preserving Maps.
    • (1987) Physica , vol.27 D , pp. 1
    • MacKay, R.S.1    Meiss, J.D.2    Percival, I.C.3
  • 126
    • 0002042604 scopus 로고
    • Extended Chaos and Disappearance of KAM Trajectories
    • D. Bensimon and L. P. Kadanoff, Physica, 13D, 82 (1984). Extended Chaos and Disappearance of KAM Trajectories.
    • (1984) Physica , vol.13 D , pp. 82
    • Bensimon, D.1    Kadanoff, L.P.2
  • 127
    • 0642326653 scopus 로고
    • Contribution to the Theory of Fast Reaction Rates
    • R. De Vogelaere and M. Boudart, J. Chem. Phys., 23, 1236 (1955). Contribution to the Theory of Fast Reaction Rates.
    • (1955) J. Chem. Phys. , vol.23 , pp. 1236
    • De Vogelaere, R.1    Boudart, M.2
  • 128
    • 0000402716 scopus 로고
    • Transition States, Trapped Trajectories, and Classical Bound States in the Continuum
    • E. Pollak and P. Pechukas, J. Chem. Phys., 69, 1218 (1978). Transition States, Trapped Trajectories, and Classical Bound States in the Continuum.
    • (1978) J. Chem. Phys. , vol.69 , pp. 1218
    • Pollak, E.1    Pechukas, P.2
  • 129
    • 36749104593 scopus 로고
    • Classical Transition State Theory Is Exact if the Transition State Is Unique
    • P. Pechukas and E. Pollak, J. Chem. Phys., 71, 2062 (1979). Classical Transition State Theory Is Exact if the Transition State Is Unique.
    • (1979) J. Chem. Phys. , vol.71 , pp. 2062
    • Pechukas, P.1    Pollak, E.2
  • 130
    • 0009374829 scopus 로고
    • Classical Mechanics of a Collinear Exchange Reaction: A Direct Evaluation of the Reaction Probability and Product Distribution
    • E. Pollak and M. S. Child, J. Chem. Phys., 73, 4373 (1980). Classical Mechanics of a Collinear Exchange Reaction: A Direct Evaluation of the Reaction Probability and Product Distribution.
    • (1980) J. Chem. Phys. , vol.73 , pp. 4373
    • Pollak, E.1    Child, M.S.2
  • 131
    • 0002303852 scopus 로고
    • Periodic Orbits and the Theory of Reactive Scattering
    • M. Baer, Ed., CRC Press, Boca Raton, FL
    • E. Pollak, in Theory of Chemical Reaction Dynamics, M. Baer, Ed., CRC Press, Boca Raton, FL, 1985, Vol. III, pp. 123-246. Periodic Orbits and the Theory of Reactive Scattering.
    • (1985) Theory of Chemical Reaction Dynamics , vol.3 , pp. 123-246
    • Pollak, E.1
  • 132
    • 0011477711 scopus 로고
    • Isomerization Dynamics and the Transition to Chaos
    • B. J. Berne, N. De Leon, and R. O. Rosenberg, J. Phys. Chem., 86, 2166 (1982). Isomerization Dynamics and the Transition to Chaos.
    • (1982) J. Phys. Chem. , vol.86 , pp. 2166
    • Berne, B.J.1    De Leon, N.2    Rosenberg, R.O.3
  • 133
    • 0004545546 scopus 로고
    • Surface-of-Section Analysis in the Classical Theory of Multiphoton Absorption
    • M. J. Davis and R. E. Wyatt, Chem. Phys. Lett., 86, 235 (1982). Surface-of-Section Analysis in the Classical Theory of Multiphoton Absorption.
    • (1982) Chem. Phys. Lett. , vol.86 , pp. 235
    • Davis, M.J.1    Wyatt, R.E.2
  • 134
    • 33847059213 scopus 로고
    • Nonlinear Resonances and Vibrational Energy Flow in Model Hydrocarbon Chains
    • J. S. Hutchinson, W. P. Reinhardt, and J. T. Hynes, J. Chem. Phys., 79, 4247 (1983). Nonlinear Resonances and Vibrational Energy Flow in Model Hydrocarbon Chains.
    • (1983) J. Chem. Phys. , vol.79 , pp. 4247
    • Hutchinson, J.S.1    Reinhardt, W.P.2    Hynes, J.T.3
  • 135
    • 36749115486 scopus 로고
    • Approximate Constants of Motion for Classically Chaotic Vibrational Dynamics: Vague Tori, Semiclassical Quantization, and Classical Intramolecular Energy Flow
    • R. B. Shirts and W. P. Reinhardt, J. Chem. Phys., 77, 5204 (1982). Approximate Constants of Motion for Classically Chaotic Vibrational Dynamics: Vague Tori, Semiclassical Quantization, and Classical Intramolecular Energy Flow.
    • (1982) J. Chem. Phys. , vol.77 , pp. 5204
    • Shirts, R.B.1    Reinhardt, W.P.2
  • 136
    • 0042974379 scopus 로고
    • Uniform Semiclassical Quantization of Regular and Chaotic Classical Dynamics on the Henon-Heiles Surface
    • C. Jaffé and W. P. Reinhardt, J. Chem. Phys., 77, 5191 (1982). Uniform Semiclassical Quantization of Regular and Chaotic Classical Dynamics on the Henon-Heiles Surface.
    • (1982) J. Chem. Phys. , vol.77 , pp. 5191
    • Jaffé, C.1    Reinhardt, W.P.2
  • 137
    • 33750444432 scopus 로고
    • Semiclassical Quantization of a Nonintegrable System: Pushing the Fourier Method into the Chaotic Regime
    • K. Sohlberg and R. B. Shirts, J. Chem. Phys., 101, 7763 (1994). Semiclassical Quantization of a Nonintegrable System: Pushing the Fourier Method into the Chaotic Regime.
    • (1994) J. Chem. Phys. , vol.101 , pp. 7763
    • Sohlberg, K.1    Shirts, R.B.2
  • 138
    • 0000442881 scopus 로고
    • Local Frequency Analysis of Chaotic Motion in Multidimensional Systems: Energy Transport and Bottlenecks in Planar OCS
    • C. C. Martens, M. J. Davis, and G. S. Ezra, Chem. Phys. Lett., 142, 519 (1987). Local Frequency Analysis of Chaotic Motion in Multidimensional Systems: Energy Transport and Bottlenecks in Planar OCS.
    • (1987) Chem. Phys. Lett. , vol.142 , pp. 519
    • Martens, C.C.1    Davis, M.J.2    Ezra, G.S.3
  • 139
    • 36549095556 scopus 로고
    • Intramolecular Vibrational Relaxation and Spectra of CH and CD Overtones in Benzene and Perdeuterobenzene
    • See, for example, the following and references contained therein: E. L. Sibert III, W. P. Reinhardt, and J. T. Hynes, J. Chem. Phys., 81, 1115 (1984). Intramolecular Vibrational Relaxation and Spectra of CH and CD Overtones in Benzene and Perdeuterobenzene. S. P. Neshyba and N. De Leon, J. Chem. Phys., 86, 6295 (1987). Classical Resonances, Fermi Resonances, and Canonical Transformations for Three Nonlinearly Coupled Oscillators. S. P. Neshyba and N. De Leon, J. Chem. Phys., 91, 7772 (1989). Projection Operator Formalism for the Characterization of Molecular Eigenstates: Application to a 3:4 Resonant System. G. S. Ezra, J. Chem. Phys., 104, 26 (1996). Periodic Orbit Analysis of Molecular Vibrational Spectra: Spectral Patterns and Dynamical Bifurcations in Fermi Resonant Systems. Also see Ref. 6.
    • (1984) J. Chem. Phys. , vol.81 , pp. 1115
    • Sibert III, E.L.1    Reinhardt, W.P.2    Hynes, J.T.3
  • 140
    • 0642265415 scopus 로고
    • Classical Resonances, Fermi Resonances, and Canonical Transformations for Three Nonlinearly Coupled Oscillators
    • See, for example, the following and references contained therein: E. L. Sibert III, W. P. Reinhardt, and J. T. Hynes, J. Chem. Phys., 81, 1115 (1984). Intramolecular Vibrational Relaxation and Spectra of CH and CD Overtones in Benzene and Perdeuterobenzene. S. P. Neshyba and N. De Leon, J. Chem. Phys., 86, 6295 (1987). Classical Resonances, Fermi Resonances, and Canonical Transformations for Three Nonlinearly Coupled Oscillators. S. P. Neshyba and N. De Leon, J. Chem. Phys., 91, 7772 (1989). Projection Operator Formalism for the Characterization of Molecular Eigenstates: Application to a 3:4 Resonant System. G. S. Ezra, J. Chem. Phys., 104, 26 (1996). Periodic Orbit Analysis of Molecular Vibrational Spectra: Spectral Patterns and Dynamical Bifurcations in Fermi Resonant Systems. Also see Ref. 6.
    • (1987) J. Chem. Phys. , vol.86 , pp. 6295
    • Neshyba, S.P.1    De Leon, N.2
  • 141
    • 0642296151 scopus 로고
    • Projection Operator Formalism for the Characterization of Molecular Eigenstates: Application to a 3:4 Resonant System
    • See, for example, the following and references contained therein: E. L. Sibert III, W. P. Reinhardt, and J. T. Hynes, J. Chem. Phys., 81, 1115 (1984). Intramolecular Vibrational Relaxation and Spectra of CH and CD Overtones in Benzene and Perdeuterobenzene. S. P. Neshyba and N. De Leon, J. Chem. Phys., 86, 6295 (1987). Classical Resonances, Fermi Resonances, and Canonical Transformations for Three Nonlinearly Coupled Oscillators. S. P. Neshyba and N. De Leon, J. Chem. Phys., 91, 7772 (1989). Projection Operator Formalism for the Characterization of Molecular Eigenstates: Application to a 3:4 Resonant System. G. S. Ezra, J. Chem. Phys., 104, 26 (1996). Periodic Orbit Analysis of Molecular Vibrational Spectra: Spectral Patterns and Dynamical Bifurcations in Fermi Resonant Systems. Also see Ref. 6.
    • (1989) J. Chem. Phys. , vol.91 , pp. 7772
    • Neshyba, S.P.1    De Leon, N.2
  • 142
    • 0002544069 scopus 로고    scopus 로고
    • Periodic Orbit Analysis of Molecular Vibrational Spectra: Spectral Patterns and Dynamical Bifurcations in Fermi Resonant Systems
    • Also see Ref. 6
    • See, for example, the following and references contained therein: E. L. Sibert III, W. P. Reinhardt, and J. T. Hynes, J. Chem. Phys., 81, 1115 (1984). Intramolecular Vibrational Relaxation and Spectra of CH and CD Overtones in Benzene and Perdeuterobenzene. S. P. Neshyba and N. De Leon, J. Chem. Phys., 86, 6295 (1987). Classical Resonances, Fermi Resonances, and Canonical Transformations for Three Nonlinearly Coupled Oscillators. S. P. Neshyba and N. De Leon, J. Chem. Phys., 91, 7772 (1989). Projection Operator Formalism for the Characterization of Molecular Eigenstates: Application to a 3:4 Resonant System. G. S. Ezra, J. Chem. Phys., 104, 26 (1996). Periodic Orbit Analysis of Molecular Vibrational Spectra: Spectral Patterns and Dynamical Bifurcations in Fermi Resonant Systems. Also see Ref. 6.
    • (1996) J. Chem. Phys. , vol.104 , pp. 26
    • Ezra, G.S.1
  • 143
    • 0001324444 scopus 로고
    • Phase Space Dynamics of Bimolecular Reactions and the Breakdown of Transition State Theory
    • M. J. Davis, J. Chem. Phys., 86, 3978 (1987). Phase Space Dynamics of Bimolecular Reactions and the Breakdown of Transition State Theory.
    • (1987) J. Chem. Phys. , vol.86 , pp. 3978
    • Davis, M.J.1
  • 144
    • 36549101839 scopus 로고
    • A Phase-Space Analysis of the Collinear 1 + HI Reaction
    • R. T. Skodje and M. J. Davis, J. Chem. Phys., 88, 2429 (1988). A Phase-Space Analysis of the Collinear 1 + HI Reaction. R. T. Skodje and M. J. Davis, Chem. Phys. Lett., 175, 92 (1990). Statistical Rate Theory for Transient Chemical Species: Classical Lifetimes from Periodic Orbits.
    • (1988) J. Chem. Phys. , vol.88 , pp. 2429
    • Skodje, R.T.1    Davis, M.J.2
  • 145
    • 0038919600 scopus 로고
    • Statistical Rate Theory for Transient Chemical Species: Classical Lifetimes from Periodic Orbits
    • R. T. Skodje and M. J. Davis, J. Chem. Phys., 88, 2429 (1988). A Phase-Space Analysis of the Collinear 1 + HI Reaction. R. T. Skodje and M. J. Davis, Chem. Phys. Lett., 175, 92 (1990). Statistical Rate Theory for Transient Chemical Species: Classical Lifetimes from Periodic Orbits.
    • (1990) Chem. Phys. Lett. , vol.175 , pp. 92
    • Skodje, R.T.1    Davis, M.J.2
  • 146
    • 3042892885 scopus 로고
    • Bottlenecks to Unimolecular Reactions and an Alternative Form for Classical RRKM Theory
    • S. K. Gray, S. A. Rice, and M. J. Davis, J. Phys. Chem., 90, 3470 (1986). Bottlenecks to Unimolecular Reactions and an Alternative Form for Classical RRKM Theory. M. J. Davis and S. K. Gray, J. Chem. Phys., 84, 5389 (1986). Unimolecular Reactions and Phase Space Bottlenecks.
    • (1986) J. Phys. Chem. , vol.90 , pp. 3470
    • Gray, S.K.1    Rice, S.A.2    Davis, M.J.3
  • 147
    • 36549091743 scopus 로고
    • Unimolecular Reactions and Phase Space Bottlenecks
    • S. K. Gray, S. A. Rice, and M. J. Davis, J. Phys. Chem., 90, 3470 (1986). Bottlenecks to Unimolecular Reactions and an Alternative Form for Classical RRKM Theory. M. J. Davis and S. K. Gray, J. Chem. Phys., 84, 5389 (1986). Unimolecular Reactions and Phase Space Bottlenecks.
    • (1986) J. Chem. Phys. , vol.84 , pp. 5389
    • Davis, M.J.1    Gray, S.K.2
  • 148
    • 0347815628 scopus 로고
    • The Photofragmentation of Simple van der Waals Complexes
    • S. K. Gray and S. A. Rice, Faraday Discuss. Chem. Soc., 82, 307 (1986). The Photofragmentation of Simple van der Waals Complexes.
    • (1986) Faraday Discuss. Chem. Soc. , vol.82 , pp. 307
    • Gray, S.K.1    Rice, S.A.2
  • 149
    • 36549103716 scopus 로고
    • Phase Space Bottlenecks and Statistical Theories of Isomerization Reactions
    • S. K. Gray and S. A. Rice, J. Chem. Phys., 86, 2020 (1987). Phase Space Bottlenecks and Statistical Theories of Isomerization Reactions.
    • (1987) J. Chem. Phys. , vol.86 , pp. 2020
    • Gray, S.K.1    Rice, S.A.2
  • 150
    • 0007232352 scopus 로고
    • Two-Dimensional Analysis of the Ring-Puckering and PH Inversion Vibrations of 3-Phospholene
    • M. A. Harthcock and J. Laane, J. Chem. Phys., 79, 2103 (1983). Two-Dimensional Analysis of the Ring-Puckering and PH Inversion Vibrations of 3-Phospholene.
    • (1983) J. Chem. Phys. , vol.79 , pp. 2103
    • Harthcock, M.A.1    Laane, J.2
  • 151
    • 4243720776 scopus 로고
    • Geometry and Dynamics of Stable and Unstable Cylinders in Hamiltonian Systems
    • A. M. Ozorio de Almeida, N. De Leon, M. A. Mehta, and C. C. Marston, Physica, 46D, 265 (1990). Geometry and Dynamics of Stable and Unstable Cylinders in Hamiltonian Systems.
    • (1990) Physica , vol.46 D , pp. 265
    • Ozorio De Almeida, A.M.1    De Leon, N.2    Mehta, M.A.3    Marston, C.C.4
  • 152
    • 3342932565 scopus 로고
    • Cylindrical Manifolds as Essential Mediators of Chemical Reaction Dynamics and Kinetics. I. Theory
    • N. De Leon, M. A. Mehta, and R. Q. Topper, J. Chem. Phys., 94, 8310 (1990). Cylindrical Manifolds as Essential Mediators of Chemical Reaction Dynamics and Kinetics. I. Theory.
    • (1990) J. Chem. Phys. , vol.94 , pp. 8310
    • De Leon, N.1    Mehta, M.A.2    Topper, R.Q.3
  • 153
    • 3342946234 scopus 로고
    • Cylindrical Manifolds and Reactive Island Kinetic Theory in the Time Domain
    • N. De Leon, J. Chem. Phys., 96, 285 (1991). Cylindrical Manifolds and Reactive Island Kinetic Theory in the Time Domain.
    • (1991) J. Chem. Phys. , vol.96 , pp. 285
    • De Leon, N.1
  • 154
    • 34547832624 scopus 로고
    • Dynamical Corrections for Non-RRKM Behavior
    • N. De Leon, Chem. Phys. Lett., 189, 371 (1992). Dynamical Corrections for Non-RRKM Behavior.
    • (1992) Chem. Phys. Lett. , vol.189 , pp. 371
    • De Leon, N.1
  • 155
    • 36449002846 scopus 로고
    • Unimolecular Fragmentation Rate Theory Revisited: An Improved Classical Theory
    • M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Unimolecular Fragmentation Rate Theory Revisited: An Improved Classical Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 6654 (1992). An Approximate Classical Unimolecular Reaction Rate Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 98, 2837 (1993). Comment on the Rate of Isomerization of 3-Phospholene. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Comment on the Classical Theory of Isomerization. S. Jang, M. Zhao, and S. A. Rice, J. Chem. Phys., 97, 8188 (1992). Comment on the Rate of Isomerization in Molecules with a Symmetric Triple Well.
    • (1992) J. Chem. Phys. , vol.96 , pp. 3542
    • Zhao, M.1    Rice, S.A.2
  • 156
    • 0001737755 scopus 로고
    • An Approximate Classical Unimolecular Reaction Rate Theory
    • M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Unimolecular
    • (1992) J. Chem. Phys. , vol.96 , pp. 6654
    • Zhao, M.1    Rice, S.A.2
  • 157
    • 0010018212 scopus 로고
    • Comment on the Rate of Isomerization of 3-Phospholene
    • M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Unimolecular Fragmentation Rate Theory Revisited: An Improved Classical Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 6654 (1992). An Approximate Classical Unimolecular Reaction Rate Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 98, 2837 (1993). Comment on the Rate of Isomerization of 3-Phospholene. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Comment on the Classical Theory of Isomerization. S. Jang, M. Zhao, and S. A. Rice, J. Chem. Phys., 97, 8188 (1992). Comment on the Rate of Isomerization in Molecules with a Symmetric Triple Well.
    • (1993) J. Chem. Phys. , vol.98 , pp. 2837
    • Zhao, M.1    Rice, S.A.2
  • 158
    • 36449002846 scopus 로고
    • Comment on the Classical Theory of Isomerization
    • M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Unimolecular Fragmentation Rate Theory Revisited: An Improved Classical Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 6654 (1992). An Approximate Classical Unimolecular Reaction Rate Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 98, 2837 (1993). Comment on the Rate of Isomerization of 3-Phospholene. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Comment on the Classical Theory of Isomerization. S. Jang, M. Zhao, and S. A. Rice, J. Chem. Phys., 97, 8188 (1992). Comment on the Rate of Isomerization in Molecules with a Symmetric Triple Well.
    • (1992) J. Chem. Phys. , vol.96 , pp. 3542
    • Zhao, M.1    Rice, S.A.2
  • 159
    • 0038919585 scopus 로고
    • Comment on the Rate of Isomerization in Molecules with a Symmetric Triple Well
    • M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Unimolecular Fragmentation Rate Theory Revisited: An Improved Classical Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 6654 (1992). An Approximate Classical Unimolecular Reaction Rate Theory. M. Zhao and S. A. Rice, J. Chem. Phys., 98, 2837 (1993). Comment on the Rate of Isomerization of 3-Phospholene. M. Zhao and S. A. Rice, J. Chem. Phys., 96, 3542 (1992). Comment on the Classical Theory of Isomerization. S. Jang, M. Zhao, and S. A. Rice, J. Chem. Phys., 97, 8188 (1992). Comment on the Rate of Isomerization in Molecules with a Symmetric Triple Well.
    • (1992) J. Chem. Phys. , vol.97 , pp. 8188
    • Jang, S.1    Zhao, M.2    Rice, S.A.3
  • 160
    • 0000451576 scopus 로고
    • Simplification of the Transition State Concept in Reactive Island Theory: Application to the HCN ⇆ HNC Isomerization
    • N. De Leon and S. Ling, J. Chem. Phys., 101, 4790 (1994). Simplification of the Transition State Concept in Reactive Island Theory: Application to the HCN ⇆ HNC Isomerization.
    • (1994) J. Chem. Phys. , vol.101 , pp. 4790
    • De Leon, N.1    Ling, S.2
  • 161
    • 0002158075 scopus 로고
    • 3
    • 3. H. W. Schranz and M. A. Collins, J. Chem. Phys., 101, 307 (1994). A Model Classical Study of Nonlinear Resonance and Torsional Isomerization.
    • (1993) J. Chem. Phys. , vol.98 , pp. 1132
    • Schranz, H.W.1    Collins, M.A.2
  • 162
    • 0001017752 scopus 로고
    • A Model Classical Study of Nonlinear Resonance and Torsional Isomerization
    • 3. H. W. Schranz and M. A. Collins, J. Chem. Phys., 101, 307 (1994). A Model Classical Study of Nonlinear Resonance and Torsional Isomerization.
    • (1994) J. Chem. Phys. , vol.101 , pp. 307
    • Schranz, H.W.1    Collins, M.A.2
  • 163
    • 0038956730 scopus 로고
    • Dynamics of Unimolecular Reactions
    • W. H. Miller, Ed., Plenum Press, New York
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1976) Dynamics of Molecular Collisions , Issue.PART B , pp. 121-169
    • Hase, W.L.1
  • 164
    • 0042067227 scopus 로고
    • Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space
    • W. L. Hase, Ed., JAI Press, London
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 1-40
    • Ezra, G.S.1
  • 165
    • 0642326660 scopus 로고
    • The Role of Mode-Mode Energy Transfer in Unimolecular Reactions
    • W. L. Hase, Eds., JAI Press, London
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 41-75
    • Hutchinson, J.S.1
  • 166
    • 0642265411 scopus 로고
    • Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective
    • W. L. Hase, Ed., JAI Press, London
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 77-164
    • Davis, M.J.1    Skodje, R.T.2
  • 167
    • 0642326659 scopus 로고
    • The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones
    • W. L. Hase, Ed., JAI Press, London
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 315-349
    • Duneczky, C.1    Reinhardt, W.2
  • 168
    • 0642357465 scopus 로고
    • Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides
    • W. L. Hase, Ed., JAI Press, London
    • W. L. Hase, in Dynamics of Molecular Collisions, Part B, W. H. Miller, Ed., Plenum Press, New York, 1976, pp. 121-169. Dynamics of Unimolecular Reactions. G. S. Ezra, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 1-40. Classical Trajectory Studies of Intramolecular Dynamics: Local Mode Dynamics, Rotation-Vibration Interaction and the Structure of Multidimensional Phase Space. J. S. Hutchinson, in Advances in Classical Trajectory Methods, W. L. Hase, Eds., JAI Press, London, 1992, Vol. 1, pp. 41-75. The Role of Mode-Mode Energy Transfer in Unimolecular Reactions. M. J. Davis and R. T. Skodje, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 77-164. Chemical Reactions as Problems in Nonlinear Dynamics: A Review of Statistical and Adiabatic Approximations from a Phase Space Perspective. C. Duneczky and W. Reinhardt, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 315-349. The Role of Potential Couplings and Isotopic Substitution on the Ultrafast Classical Relaxation of High Alkyl CH and CD Overtones. S. Chapman and T. Uzer, in Advances in Classical Trajectory Methods, W. L. Hase, Ed., JAI Press, London, 1992, Vol. 1, pp. 351-384. Dynamics of Overtone Induced Energy Flow and Fragmentation in Alkyl Hydroperoxides.
    • (1992) Advances in Classical Trajectory Methods , vol.1 , pp. 351-384
    • Chapman, S.1    Uzer, T.2
  • 169
    • 12144268141 scopus 로고
    • Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels
    • P. M. Morse, Phys. Rev., 34, 57 (1929). Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels.
    • (1929) Phys. Rev. , vol.34 , pp. 57
    • Morse, P.M.1
  • 170
    • 0642326658 scopus 로고
    • Dynamics Revisited, A Glossary
    • S. Jorna, Ed., AIP, New York
    • R. H. G. Helleman, in Topics in Nonlinear Dynamics. S. Jorna, Ed., AIP, New York, 1978, pp. 400-403. Dynamics Revisited, A Glossary. M. V. Berry, in Topics in Nonlinear Dynamics. S. Jorna, Ed., AIP, New York, 1978, pp. 16-120. Regular and Irregular Motion.
    • (1978) Topics in Nonlinear Dynamics , pp. 400-403
    • Helleman, R.H.G.1
  • 171
    • 0003084473 scopus 로고
    • Regular and Irregular Motion
    • S. Jorna, Ed., AIP, New York
    • R. H. G. Helleman, in Topics in Nonlinear Dynamics. S. Jorna, Ed., AIP, New York, 1978, pp. 400-403. Dynamics Revisited, A Glossary. M. V. Berry, in Topics in Nonlinear Dynamics. S. Jorna, Ed., AIP, New York, 1978, pp. 16-120. Regular and Irregular Motion.
    • (1978) Topics in Nonlinear Dynamics , pp. 16-120
    • Berry, M.V.1
  • 172
    • 0002706543 scopus 로고
    • Semiclassical Mechanics of Regular and Irregular Motion
    • G. Iooss, R. H. G. Helleman, and R. Stora, Eds., North Holland, Amsterdam
    • M. V. Berry, in Les Houches-Chaotic Behavior of Deterministic Systems. G. Iooss, R. H. G. Helleman, and R. Stora, Eds., pp. 171-271, North Holland, Amsterdam, 1983. Semiclassical Mechanics of Regular and Irregular Motion.
    • (1983) Les Houches-Chaotic Behavior of Deterministic Systems , pp. 171-271
    • Berry, M.V.1
  • 173
    • 0002519122 scopus 로고
    • The Applicability of the Third Integral of Motion: Some Numerical Experiments
    • M. Hénon and C. Heiles, Astrophys. J., 69, 73 (1964). The Applicability of the Third Integral of Motion: Some Numerical Experiments.
    • (1964) Astrophys. J. , vol.69 , pp. 73
    • Hénon, M.1    Heiles, C.2
  • 175
    • 0038903941 scopus 로고
    • Numerical Exploration of Hamiltonian Systems
    • G. Iooss, R. H. G. Helleman, and R. Stora, Eds., North Holland, Amsterdam
    • M. Hénon, in Les Houches-Chaotic Behavior of Deterministic Systems. G. Iooss, R. H. G. Helleman, and R. Stora, Eds., pp. 53-170, North Holland, Amsterdam, 1983. Numerical Exploration of Hamiltonian Systems.
    • (1983) Les Houches-Chaotic Behavior of Deterministic Systems , pp. 53-170
    • Hénon, M.1
  • 177
    • 0001654924 scopus 로고
    • On the Numerical Computation of Poincaré Maps
    • M. Hénon, Physica, 5D, 412 (1982). On the Numerical Computation of Poincaré Maps.
    • (1982) Physica , vol.5 D , pp. 412
    • Hénon, M.1
  • 180
    • 0642326657 scopus 로고
    • Statistical Behavior in Conservative Classical Systems
    • V. Szebehly, B. D. Tapley, and D. Reidel, Eds., Dordrecht-Holland
    • L. E. Reichl, in Long-Time Predictions in Dynamics. V. Szebehly, B. D. Tapley, and D. Reidel, Eds., Dordrecht-Holland, 1976, pp. 71-98. Statistical Behavior in Conservative Classical Systems.
    • (1976) Long-Time Predictions in Dynamics , pp. 71-98
    • Reichl, L.E.1
  • 181
    • 0001189542 scopus 로고
    • Order in Chaos and the Dynamics and Kinetics of Unimolecular Conformational Isomerization
    • N. De Leon and C. C. Marston, J. Chem. Phys., 91, 3405 (1989). Order in Chaos and the Dynamics and Kinetics of Unimolecular Conformational Isomerization.
    • (1989) J. Chem. Phys. , vol.91 , pp. 3405
    • De Leon, N.1    Marston, C.C.2
  • 182
    • 0041185452 scopus 로고
    • Fourier Path Integral Methods for the Calculation of the Microcanonical Density of States
    • D. L. Freeman and J. D. Doll, J. Chem. Phys., 101, 848 (1984). Fourier Path Integral Methods for the Calculation of the Microcanonical Density of States.
    • (1984) J. Chem. Phys. , vol.101 , pp. 848
    • Freeman, D.L.1    Doll, J.D.2
  • 183
    • 33846973479 scopus 로고
    • Some Quantum-Mechanical Considerations in the Theory of Reactions Involving an Activation Energy
    • J. O. Hirshfelder and E. Wigner, J. Chem. Phys., 7, 616 (1939). Some Quantum-Mechanical Considerations in the Theory of Reactions Involving an Activation Energy.
    • (1939) J. Chem. Phys. , vol.7 , pp. 616
    • Hirshfelder, J.O.1    Wigner, E.2
  • 184
    • 36749118190 scopus 로고
    • Quantum Mechanical Transition-State Theory and a New Semiclassical Model for Reaction Rate Constants
    • W. H. Miller, J. Chem. Phys., 61, 1823 (1974). Quantum Mechanical Transition-State Theory and a New Semiclassical Model for Reaction Rate Constants.
    • (1974) J. Chem. Phys. , vol.61 , pp. 1823
    • Miller, W.H.1
  • 185
    • 36549097740 scopus 로고
    • A Statistical Theory for the Effect of Nonadiabatic Transitions on Activated Processes
    • J. E. Straub and B. J. Berne, J. Chem. Phys., 83, 1138 (1985). A Statistical Theory for the Effect of Nonadiabatic Transitions on Activated Processes.
    • (1985) J. Chem. Phys. , vol.83 , pp. 1138
    • Straub, J.E.1    Berne, B.J.2
  • 186
    • 0000694595 scopus 로고
    • Variational Theory of Chemical Reaction Rates Applied to Three-Body Recombination
    • J. C. Keck, J. Chem. Phys., 32, 1035 (1960). Variational Theory of Chemical Reaction Rates Applied to Three-Body Recombination.
    • (1960) J. Chem. Phys. , vol.32 , pp. 1035
    • Keck, J.C.1
  • 187
    • 0003185372 scopus 로고
    • Flux over a Saddle
    • R. S. MacKay, Physics Lett., A145, 425 (1990). Flux Over a Saddle. R. S. MacKay, Nonlinearity, 4, 155 (1991). A Variational Principle for Invariant Odd-Dimensional Submanifolds of an Energy Surface for Hamiltonian Systems.
    • (1990) Physics Lett. , vol.A145 , pp. 425
    • MacKay, R.S.1
  • 188
    • 0002143934 scopus 로고
    • A Variational Principle for Invariant Odd-Dimensional Submanifolds of an Energy Surface for Hamiltonian Systems
    • R. S. MacKay, Physics Lett., A145, 425 (1990). Flux Over a Saddle. R. S. MacKay, Nonlinearity, 4, 155 (1991). A Variational Principle for Invariant Odd-Dimensional Submanifolds of an Energy Surface for Hamiltonian Systems.
    • (1991) Nonlinearity , vol.4 , pp. 155
    • MacKay, R.S.1
  • 190
    • 33746314863 scopus 로고
    • Symplectic Integration of Hamiltonian Systems
    • P. J. Channell and C. Scovel, Nonlinearity, 3, 231 (1990). Symplectic Integration of Hamiltonian Systems.
    • (1990) Nonlinearity , vol.3 , pp. 231
    • Channell, P.J.1    Scovel, C.2
  • 194
    • 0000191225 scopus 로고
    • Quantum Ergodicity and Spectral Chaos
    • E. B. Stechel and E. J. Heller, Annu. Rev. Phys. Chem., 35, 563 (1984). Quantum Ergodicity and Spectral Chaos. T. A. Heppenheimer, MOSAIC, 20, 2 (1989). Classical Mechanics, Quantum Mechanics, and the Arrow of Time. M. C. Gutzwiller, Sci. Am., 266, 78 (1992). Quantum Chaos.
    • (1984) Annu. Rev. Phys. Chem. , vol.35 , pp. 563
    • Stechel, E.B.1    Heller, E.J.2
  • 195
    • 0642357461 scopus 로고
    • Classical Mechanics, Quantum Mechanics, and the Arrow of Time
    • E. B. Stechel and E. J. Heller, Annu. Rev. Phys. Chem., 35, 563 (1984). Quantum Ergodicity and Spectral Chaos. T. A. Heppenheimer, MOSAIC, 20, 2 (1989). Classical Mechanics, Quantum Mechanics, and the Arrow of Time. M. C. Gutzwiller, Sci. Am., 266, 78 (1992). Quantum Chaos.
    • (1989) MOSAIC , vol.20 , pp. 2
    • Heppenheimer, T.A.1
  • 196
    • 0026513739 scopus 로고
    • Quantum Chaos
    • E. B. Stechel and E. J. Heller, Annu. Rev. Phys. Chem., 35, 563 (1984). Quantum Ergodicity and Spectral Chaos. T. A. Heppenheimer, MOSAIC, 20, 2 (1989). Classical Mechanics, Quantum Mechanics, and the Arrow of Time. M. C. Gutzwiller, Sci. Am., 266, 78 (1992). Quantum Chaos.
    • (1992) Sci. Am. , vol.266 , pp. 78
    • Gutzwiller, M.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.