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Volumn 125, Issue , 2003, Pages 269-349

Recent advances in the theory of vibration-rotation hamiltonians

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EID: 1542308120     PISSN: 00652385     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (34)

References (78)
  • 2
    • 0012053166 scopus 로고
    • The vibration-rotation energies of molecules and their spectra in the infra-red
    • Springer-Verlag, Berlin
    • H. H. Nielsen, The vibration-rotation energies of molecules and their spectra in the infra-red, in Handbuch der Physik, part XXXVII/1, Springer-Verlag, Berlin, 1959, p. 173-313.
    • (1959) Handbuch der Physik , Issue.1 PART XXXVII , pp. 173-313
    • Nielsen, H.H.1
  • 3
    • 84945599356 scopus 로고
    • Simplification of the molecular vibration-rotation Hamiltonian
    • J. K. G.Watson, Simplification of the molecular vibration-rotation Hamiltonian. Mol. Phys. 15, 479-490 (1968).
    • (1968) Mol. Phys. , vol.15 , pp. 479-490
    • Watson, J.K.G.1
  • 4
    • 0042641964 scopus 로고
    • The vibration-rotation Hamiltonian of linear molecules
    • J. K. G. Watson, The vibration-rotation Hamiltonian of linear molecules. Mol. Phys. 19, 465-487 (1970).
    • (1970) Mol. Phys. , vol.19 , pp. 465-487
    • Watson, J.K.G.1
  • 5
    • 0001319617 scopus 로고
    • Variational approaches to vibration-rotation spectroscopy for polyatomic molecules
    • G. D. Carney, L. L. Sprandel, and C. W. Kern, Variational approaches to vibration-rotation spectroscopy for polyatomic molecules. Adv. Chem. Phys. 37, 305-379 (1978).
    • (1978) Adv. Chem. Phys. , vol.37 , pp. 305-379
    • Carney, G.D.1    Sprandel, L.L.2    Kern, C.W.3
  • 6
    • 33745508406 scopus 로고
    • A theoretical determination of the rovibrational energy levels of the water molecule
    • S. Carter and N. C. Handy, A theoretical determination of the rovibrational energy levels of the water molecule. J. Chem. Phys. 87, 4294-4301 (1987).
    • (1987) J. Chem. Phys. , vol.87 , pp. 4294-4301
    • Carter, S.1    Handy, N.C.2
  • 7
    • 0002163931 scopus 로고
    • Overtone frequencies and intensities in the local mode picture
    • M. S. Child and L. Halonen, Overtone frequencies and intensities in the local mode picture. Adv. Chem. Phys. 57, 1-58 (1984).
    • (1984) Adv. Chem. Phys. , vol.57 , pp. 1-58
    • Child, M.S.1    Halonen, L.2
  • 8
    • 54649083383 scopus 로고    scopus 로고
    • Local mode vibrations in polyatomic molecules
    • L. Halonen, Local mode vibrations in polyatomic molecules. Adv. Chem. Phys. 104, 41-179 (1998).
    • (1998) Adv. Chem. Phys. , vol.104 , pp. 41-179
    • Halonen, L.1
  • 9
    • 33749420348 scopus 로고
    • Anharmonic force constant calculations
    • A. R. Hoy, G. Strey, and I. M. Mills, Anharmonic force constant calculations. Mol. Phys. 24, 1265-1290 (1972).
    • (1972) Mol. Phys. , vol.24 , pp. 1265-1290
    • Hoy, A.R.1    Strey, G.2    Mills, I.M.3
  • 10
    • 0039257391 scopus 로고
    • A new approach to the Hamiltonian of nonrigid molecules
    • G. O. Sørensen, A new approach to the Hamiltonian of nonrigid molecules. Topics Curr. Chem. 82, 97-175 (1979).
    • (1979) Topics Curr. Chem. , vol.82 , pp. 97-175
    • Sørensen, G.O.1
  • 11
    • 36549092381 scopus 로고
    • Coordinates for molecular dynamics: Orthogonal local systems
    • V. Aquilanti and S. Cavalli, Coordinates for molecular dynamics: Orthogonal local systems. J. Chem. Phys. 85, 1355-1361 (1986).
    • (1986) J. Chem. Phys. , vol.85 , pp. 1355-1361
    • Aquilanti, V.1    Cavalli, S.2
  • 12
    • 36549100638 scopus 로고
    • Hyperspherical coordinates for molecular dynamics by the methods of trees and the mapping of potential energy surfaces for triatomic systems
    • V. Aquilanti and S. Cavalli, Hyperspherical coordinates for molecular dynamics by the methods of trees and the mapping of potential energy surfaces for triatomic systems. J. Chem. Phys. 85, 1362-1375 (1986).
    • (1986) J. Chem. Phys. , vol.85 , pp. 1362-1375
    • Aquilanti, V.1    Cavalli, S.2
  • 13
    • 0001658406 scopus 로고
    • Internal or shape coordinates in the N-body problem
    • R. G. Littlejohn and M. Reinsch, Internal or shape coordinates in the N-body problem. Phys. Rev. A 52, 2035-2051 (1995).
    • (1995) Phys. Rev. A , vol.52 , pp. 2035-2051
    • Littlejohn, R.G.1    Reinsch, M.2
  • 14
    • 0034634820 scopus 로고    scopus 로고
    • Collective hyperspherical coordinates for polyatomic molecules and clusters
    • V. Aquilanti, A. Beddoni, S. Cavalli, A. Lombard, and R. G. Littlejohn, Collective hyperspherical coordinates for polyatomic molecules and clusters. Mol. Phys. 98, 1763-1770 (2000).
    • (2000) Mol. Phys. , vol.98 , pp. 1763-1770
    • Aquilanti, V.1    Beddoni, A.2    Cavalli, S.3    Lombard, A.4    Littlejohn, R.G.5
  • 15
    • 0000690504 scopus 로고
    • Theoretical methods for rovibrational states of floppy molecules
    • Z. Bačić and J. C. Light, Theoretical methods for rovibrational states of floppy molecules, Annu. Rev. Phys. Chem. 40, 469-498 (1989).
    • (1989) Annu. Rev. Phys. Chem. , vol.40 , pp. 469-498
    • Bačić, Z.1    Light, J.C.2
  • 16
    • 0013630351 scopus 로고
    • A method to obtain the Eckart Hamiltonian and the equations of motion of a highly deformable polyatomic system in terms of generalized coordinates
    • X. Chapuisat, A. Nauts, and G. Durand, A method to obtain the Eckart Hamiltonian and the equations of motion of a highly deformable polyatomic system in terms of generalized coordinates. Chem. Phys. 56, 91-105 (1981).
    • (1981) Chem. Phys. , vol.56 , pp. 91-105
    • Chapuisat, X.1    Nauts, A.2    Durand, G.3
  • 17
    • 0000663960 scopus 로고
    • Momentum, quasi-momentum and Hamiltonian operators in terms of arbitrary curvilinear coordinates, with special emphasis on molecular Hamiltonians
    • A. Nauts and X. Chapuisat, Momentum, quasi-momentum and Hamiltonian operators in terms of arbitrary curvilinear coordinates, with special emphasis on molecular Hamiltonians. Mol. Phys. 55, 1287-1318 (1985).
    • (1985) Mol. Phys. , vol.55 , pp. 1287-1318
    • Nauts, A.1    Chapuisat, X.2
  • 18
    • 0011772259 scopus 로고
    • Exact quantum molecular Hamiltonians
    • Application to the dynamics of three particles
    • X. Chapuisat, A. Nauts, and J.-P. Brunet, Exact quantum molecular Hamiltonians. Part 1. Application to the dynamics of three particles. Mol. Phys. 72, 1-31 (1991).
    • (1991) Mol. Phys. , vol.72 , Issue.PART 1 , pp. 1-31
    • Chapuisat, X.1    Nauts, A.2    Brunet, J.-P.3
  • 19
    • 0000804677 scopus 로고
    • Principal-axis hyperspherical description of N-particle systems: Classical treatment
    • X. Chapuisat, Principal-axis hyperspherical description of N-particle systems: Classical treatment. Phys. Rev. A 44, 1328-1351 (1991).
    • (1991) Phys. Rev. A , vol.44 , pp. 1328-1351
    • Chapuisat, X.1
  • 20
    • 0000825118 scopus 로고
    • Principal-axis hyperspherical description of N-particle systems: Quantum mechanical treatment
    • X. Chapuisat and A. Nauts, Principal-axis hyperspherical description of N-particle systems: Quantum mechanical treatment. Phys. Rev. A 45, 4277-4292 (1992).
    • (1992) Phys. Rev. A , vol.45 , pp. 4277-4292
    • Chapuisat, X.1    Nauts, A.2
  • 21
    • 0343962744 scopus 로고    scopus 로고
    • Principal-axis hyperspherical description of six particle systems: Quantum-mechanical treatment
    • E. Baloitcha and M. N. Hounkonnou, Principal-axis hyperspherical description of six particle systems: Quantum-mechanical treatment. J. Phys. B 32, 4823-4837 (1999).
    • (1999) J. Phys. B , vol.32 , pp. 4823-4837
    • Baloitcha, E.1    Hounkonnou, M.N.2
  • 22
    • 0003605183 scopus 로고
    • Some problems in defining a nuclear motion Hamiltonian and their relation to the problem of molecular shape
    • R. Carbo, ed., Elsevier, Amsterdam
    • B. T. Sutcliffe, Some problems in defining a nuclear motion Hamiltonian and their relation to the problem of molecular shape, in Current Aspects of Quantum Chemistry, R. Carbo, ed., Elsevier, Amsterdam, 1982, p. 99-125.
    • (1982) Current Aspects of Quantum Chemistry , pp. 99-125
    • Sutcliffe, B.T.1
  • 23
    • 0002586295 scopus 로고
    • The derivation of vibration-rotation kinetic energy operators, in internal coordinates
    • N. C. Handy, The derivation of vibration-rotation kinetic energy operators, in internal coordinates. Mol. Phys. 61, 207-223 (1987).
    • (1987) Mol. Phys. , vol.61 , pp. 207-223
    • Handy, N.C.1
  • 24
    • 0031560372 scopus 로고    scopus 로고
    • The triatomic Eckart-frame kinetic energy operator in bond coordinates
    • H. Wei and T. Carrington, Jr., The triatomic Eckart-frame kinetic energy operator in bond coordinates. J. Chem. Phys. 107, 9493-9501 (1997).
    • (1997) J. Chem. Phys. , vol.107 , pp. 9493-9501
    • Wei, H.1    Carrington Jr., T.2
  • 25
    • 0032065460 scopus 로고    scopus 로고
    • An exact Eckart-embedded kinetic energy operator in Radau coordinates for triatomic molecules
    • H. Wei and T. Carrington, Jr., An exact Eckart-embedded kinetic energy operator in Radau coordinates for triatomic molecules. Chem. Phys. Lett. 287, 289-300 (1998).
    • (1998) Chem. Phys. Lett. , vol.287 , pp. 289-300
    • Wei, H.1    Carrington Jr., T.2
  • 26
    • 0000300358 scopus 로고    scopus 로고
    • Rovibrational Hamiltonians for general polyatomic molecules in spherical polar parameterization I. Orthogonal representations
    • M. Mladenovic, Rovibrational Hamiltonians for general polyatomic molecules in spherical polar parameterization I. Orthogonal representations. J. Chem. Phys. 112, 1070-1081 (2000).
    • (2000) J. Chem. Phys. , vol.112 , pp. 1070-1081
    • Mladenovic, M.1
  • 27
    • 0000349934 scopus 로고    scopus 로고
    • Rovibrational Hamiltonians for general polyatomic molecules in spherical polar parameterization II. Nonorthogonal representations of internal molecular geometry
    • M. Mladenovic, Rovibrational Hamiltonians for general polyatomic molecules in spherical polar parameterization II. Nonorthogonal representations of internal molecular geometry. J. Chem. Phys. 112, 1081-1095 (2000).
    • (2000) J. Chem. Phys. , vol.112 , pp. 1081-1095
    • Mladenovic, M.1
  • 28
    • 0034319287 scopus 로고    scopus 로고
    • A simple method for deriving kinetic energy operators
    • X. G. Wang and T. Carrington, Jr., A simple method for deriving kinetic energy operators. J. Chem. Phys. 113, 7097-7101 (2000).
    • (2000) J. Chem. Phys. , vol.113 , pp. 7097-7101
    • Wang, X.G.1    Carrington Jr., T.2
  • 29
    • 36449005067 scopus 로고
    • A simple method for the derivation of exact quantum-mechanical vibration- rotation Hamiltonians in terms of internal coordinates
    • T. J. Lukka, A simple method for the derivation of exact quantum-mechanical vibration- rotation Hamiltonians in terms of internal coordinates. J. Chem. Phys. 102, 3945-3955 (1995).
    • (1995) J. Chem. Phys. , vol.102 , pp. 3945-3955
    • Lukka, T.J.1
  • 30
    • 0642367728 scopus 로고    scopus 로고
    • The derivation of vibration-rotation kinetic energy operators in internal coordinates II
    • S. M. Colwell and N. C. Handy, The derivation of vibration-rotation kinetic energy operators in internal coordinates II. Mol. Phys. 92, 317-330 (1997).
    • (1997) Mol. Phys. , vol.92 , pp. 317-330
    • Colwell, S.M.1    Handy, N.C.2
  • 31
    • 0002877414 scopus 로고    scopus 로고
    • On derivation of curvilinear ro-vibrational quantum kinetic energy operator for polyatomic molecules
    • J. R. Alvarez-Collado, On derivation of curvilinear ro-vibrational quantum kinetic energy operator for polyatomic molecules. J. Mol. Struct. (Theochem.) 433, 69-81 (1998).
    • (1998) J. Mol. Struct. (Theochem.) , vol.433 , pp. 69-81
    • Alvarez-Collado, J.R.1
  • 36
    • 0001218803 scopus 로고    scopus 로고
    • Vibrational coordinates and their gradients:A geometric algebra approach
    • J. Pesonen, Vibrational coordinates and their gradients:A geometric algebra approach. J. Chem. Phys. 112, 3121-3132 (2000).
    • (2000) J. Chem. Phys. , vol.112 , pp. 3121-3132
    • Pesonen, J.1
  • 37
    • 0035449261 scopus 로고    scopus 로고
    • Gradients of vibrational coordinates from the variation of coordinates along the path of a particle
    • J. Pesonen, Gradients of vibrational coordinates from the variation of coordinates along the path of a particle. J. Chem. Phys. 115, 4402-4403 (2001).
    • (2001) J. Chem. Phys. , vol.115 , pp. 4402-4403
    • Pesonen, J.1
  • 38
    • 0035933433 scopus 로고    scopus 로고
    • Vibration-rotation kinetic energy operators: A geometric algebra approach
    • J. Pesonen, Vibration-rotation kinetic energy operators: A geometric algebra approach. J. Chem. Phys. 114, 10598-10607 (2001).
    • (2001) J. Chem. Phys. , vol.114 , pp. 10598-10607
    • Pesonen, J.1
  • 39
    • 0036469474 scopus 로고    scopus 로고
    • Volume-elements of integration: A geometric algebra approach
    • J. Pesonen and L. Halonen, Volume-elements of integration: A geometric algebra approach. J. Chem. Phys. 116, 1825-1833 (2002).
    • (2002) J. Chem. Phys. , vol.116 , pp. 1825-1833
    • Pesonen, J.1    Halonen, L.2
  • 41
    • 78751675332 scopus 로고    scopus 로고
    • Exact kinetic energy operators for polyatomic molecules
    • L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston
    • J. Pesonen, Exact kinetic energy operators for polyatomic molecules, in Applications of Geometric Algebra in Computer Science and Engineering, L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston, 2002, p. 261-270.
    • (2002) Applications of Geometric Algebra in Computer Science and Engineering , pp. 261-270
    • Pesonen, J.1
  • 42
  • 43
    • 0038329429 scopus 로고
    • Seminumerical contact transformation: From internal coordinate rovibrational Hamiltonian to effective rotational Hamiltonians. Framework of the method
    • T. J. Lukka and E. Kauppi, Seminumerical contact transformation: From internal coordinate rovibrational Hamiltonian to effective rotational Hamiltonians. Framework of the method. J. Chem. Phys. 103, 6586-6596 (1995).
    • (1995) J. Chem. Phys. , vol.103 , pp. 6586-6596
    • Lukka, T.J.1    Kauppi, E.2
  • 44
    • 0002455940 scopus 로고
    • Eckart vectors, Eckart frames, and polyatomic molecules
    • J. Louck and H. W. Galbraith, Eckart vectors, Eckart frames, and polyatomic molecules. Rev. Mod. Phys. 48, 69-106 (1976).
    • (1976) Rev. Mod. Phys. , vol.48 , pp. 69-106
    • Louck, J.1    Galbraith, H.W.2
  • 45
    • 0001373218 scopus 로고    scopus 로고
    • Derivation of rotation-vibration Hamiltonians that satisfy the Casimir condition
    • K. L. Mardis and E. L. Sibert III, Derivation of rotation-vibration Hamiltonians that satisfy the Casimir condition. J. Chem. Phys. 106, 6618-6621 (1997).
    • (1997) J. Chem. Phys. , vol.106 , pp. 6618-6621
    • Mardis, K.L.1    Iii Sibert, E.L.2
  • 46
    • 0346201300 scopus 로고    scopus 로고
    • Explicit expressions for triatomic Eckart frames in Jacobi, Radau, and bond coordinates
    • H.Wei and T. Carrington, Jr., Explicit expressions for triatomic Eckart frames in Jacobi, Radau, and bond coordinates. J. Chem. Phys. 107, 2813-2818 (1997).
    • (1997) J. Chem. Phys. , vol.107 , pp. 2813-2818
    • Wei, H.1    Carrington Jr., T.2
  • 47
    • 0031476023 scopus 로고    scopus 로고
    • Gauge fields in the separation of rotations and internal motions in the n-body problem
    • R. G. Littlejohn and M. Reinsch, Gauge fields in the separation of rotations and internal motions in the N-body problem. Rev. Mod. Phys. 69, 213-275 (1997). (Pubitemid 127359737)
    • (1997) Reviews of Modern Physics , vol.69 , Issue.1 , pp. 213-275
    • Littlejohn, R.G.1    Reinsch, M.2
  • 48
    • 0008469724 scopus 로고
    • The idea of a potential energy surface
    • B. T. Sutcliffe, The idea of a potential energy surface. J. Mol. Struct. (Theochem.) 341, 217-235 (1994).
    • (1994) J. Mol. Struct. (Theochem.) , vol.341 , pp. 217-235
    • Sutcliffe, B.T.1
  • 49
    • 0036498605 scopus 로고    scopus 로고
    • Properties of nonadiabatic couplings and the generalized Born-Oppenheimer approximation
    • B. K. Kendrick, C. A. Mead, and D. G. Truhlar, Properties of nonadiabatic couplings and the generalized Born-Oppenheimer approximation. Chem. Phys. 277, 31-41 (2002).
    • (2002) Chem. Phys. , vol.277 , pp. 31-41
    • Kendrick, B.K.1    Mead, C.A.2    Truhlar, D.G.3
  • 53
    • 0000814944 scopus 로고    scopus 로고
    • General formulation of the vibrational kinetic energy operator in internal bond-angle coordinates
    • J. H. Frederick and C.Woywood, General formulation of the vibrational kinetic energy operator in internal bond-angle coordinates. J. Chem. Phys. 111, 7255-7271 (1999).
    • (1999) J. Chem. Phys. , vol.111 , pp. 7255-7271
    • Frederick, J.H.1    Woywood, C.2
  • 55
    • 0035578236 scopus 로고    scopus 로고
    • Six-dimensional variational calculation of the bending energy levels of HF trimer and DF trimer
    • X.-G. Wang and T. Carrington, Jr., Six-dimensional variational calculation of the bending energy levels of HF trimer and DF trimer. J. Chem. Phys. 115, 9781-9796 (2001).
    • (2001) J. Chem. Phys. , vol.115 , pp. 9781-9796
    • Wang, X.-G.1    Carrington Jr., T.2
  • 58
    • 0035878669 scopus 로고    scopus 로고
    • Curvilinear internal bond coordinate Hamiltonian for ammonia I. Application to a CCSD(T) bidimensional potential energy surface
    • J. Pesonen, A. Miani, and L. Halonen, Curvilinear internal bond coordinate Hamiltonian for ammonia I. Application to a CCSD(T) bidimensional potential energy surface. J. Chem. Phys. 115, 1243-1250 (2001).
    • (2001) J. Chem. Phys. , vol.115 , pp. 1243-1250
    • Pesonen, J.1    Miani, A.2    Halonen, L.3
  • 60
    • 22944450805 scopus 로고
    • On the consistency between Lagrangian and Hamiltonian formalisms in quantum mechanics III
    • T. Kimura, T. Ohtani, and R. Sugarno, On the consistency between Lagrangian and Hamiltonian formalisms in quantum mechanics III. Prog. Theor. Phys. 48, 1395-1407 (1972).
    • (1972) Prog. Theor. Phys. , vol.48 , pp. 1395-1407
    • Kimura, T.1    Ohtani, T.2    Sugarno, R.3
  • 61
    • 0000727230 scopus 로고
    • Constraints in quantum mechanics
    • R. C. T. da Costa, Constraints in quantum mechanics. Phys. Rev. A 25, 2893-2900 (1982).
    • (1982) Phys. Rev. A , vol.25 , pp. 2893-2900
    • Da Costa, R.C.T.1
  • 62
    • 0010076128 scopus 로고
    • Quantum mechanics in Riemannian manifold II
    • N. Ogawa, N. Chepilko, and A. Kobushkin, Quantum mechanics in Riemannian manifold II. Prog. Theor. Phys. 85, 1189-1201 (1991).
    • (1991) Prog. Theor. Phys. , vol.85 , pp. 1189-1201
    • Ogawa, N.1    Chepilko, N.2    Kobushkin, A.3
  • 63
    • 36449009322 scopus 로고
    • Molecular Hamiltonian for highly constrained model systems
    • J. E. Hadder and J. H. Frederick, Molecular Hamiltonian for highly constrained model systems. J. Chem. Phys. 97, 3500-3520 (1992).
    • (1992) J. Chem. Phys. , vol.97 , pp. 3500-3520
    • Hadder, J.E.1    Frederick, J.H.2
  • 64
    • 0009225369 scopus 로고    scopus 로고
    • Quantizing constrained systems
    • L. Kaplan, N. T. Maitra, and J. Heller, Quantizing constrained systems. Phys. Rev. A 56, 2592-2599 (1997).
    • (1997) Phys. Rev. A , vol.56 , pp. 2592-2599
    • Kaplan, L.1    Maitra, N.T.2    Heller, J.3
  • 65
    • 0002642483 scopus 로고    scopus 로고
    • A general property of quantum mechanical Hamiltonian for constrained systems
    • X. Chapuisat and A. Nauts, A general property of quantum mechanical Hamiltonian for constrained systems. Mol. Phys. 91, 47-57 (1997).
    • (1997) Mol. Phys. , vol.91 , pp. 47-57
    • Chapuisat, X.1    Nauts, A.2
  • 66
    • 17144438142 scopus 로고    scopus 로고
    • Gauge fields and extrapotentials in constrained quantum systems
    • K. E. Mitchell, Gauge fields and extrapotentials in constrained quantum systems. Phys. Rev. A. 63, 04211-21-042112-20 (2001).
    • (2001) Phys. Rev. A. , vol.63 , pp. 0421121-04211220
    • Mitchell, K.E.1
  • 67
    • 84912415971 scopus 로고
    • On the formation of quantum mechanical operators
    • J. R. Shewell, On the formation of quantum mechanical operators. Am. J. Phys. 27, 16-20 (1959).
    • (1959) Am. J. Phys. , vol.27 , pp. 16-20
    • Shewell, J.R.1
  • 68
    • 34250420153 scopus 로고
    • Comments on the correspondence principles of quantum mechanical operators
    • G. R. Gruber, Comments on the correspondence principles of quantum mechanical operators. Found. Phys. 4, 19-22 (1974).
    • (1974) Found. Phys. , vol.4 , pp. 19-22
    • Gruber, G.R.1
  • 69
    • 34250438971 scopus 로고
    • Quantization in generalized coordinates III-Lagrangian formulation
    • G. R. Gruber, Quantization in generalized coordinates III-Lagrangian formulation. Int. J. Theor. Phys. 7, 253-257 (1973).
    • (1973) Int. J. Theor. Phys. , vol.7 , pp. 253-257
    • Gruber, G.R.1
  • 70
    • 0003777078 scopus 로고
    • Applications of geometric algebra to the theory of molecular conformation
    • The optimum alignment problem
    • T. Havel and I. Najfeld, Applications of geometric algebra to the theory of molecular conformation. Part 1. The optimum alignment problem. J. Mol. Struct. (Theochem.) 308, 241-262 (1994).
    • (1994) J. Mol. Struct. (Theochem.) , vol.308 , Issue.PART 1 , pp. 241-262
    • Havel, T.1    Najfeld, I.2
  • 71
    • 0008352391 scopus 로고
    • Applications of geometric algebra to the theory of molecular conformation
    • 2. The local deformation problem
    • T. Havel and I. Najfeld, Applications of geometric algebra to the theory of molecular conformation. 2. The local deformation problem. J. Mol. Struct. (Theochem.) 136, 175-189 (1995).
    • (1995) J. Mol. Struct. (Theochem.) , vol.136 , pp. 175-189
    • Havel, T.1    Najfeld, I.2
  • 72
    • 27744580878 scopus 로고    scopus 로고
    • Point groups and space groups in geometric algebra
    • L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston
    • D. Hestenes, Point groups and space groups in geometric algebra (http://modelingnts.la.asu.edu/pdf/crystalsymmetry.pdf), in Applications of Geometric Algebra in Computer Science and Engineering, L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston, 2002, p. 3-34
    • (2002) Applications of Geometric Algebra in Computer Science and Engineering , pp. 3-34
    • Hestenes, D.1
  • 73
    • 0042700291 scopus 로고    scopus 로고
    • Modeling elastically coupled rigid bodies with geometric algebra
    • L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston
    • D. Hestenes and E. D. Fasse, Modeling elastically coupled rigid bodies with geometric algebra (http://modelingnts.la.asu.edu/pdf/ElasticModeling.pdf), in Applications of Geometric Algebra in Computer Science and Engineering, L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston, 2002, p. 197-212.
    • (2002) Applications of Geometric Algebra in Computer Science and Engineering , pp. 197-212
    • Hestenes, D.1    Fasse, E.D.2
  • 74
    • 0008392490 scopus 로고
    • Simplicial calculus with geometric algebra
    • A. Micali, R. Boudet, and J. Helmstetter, eds., Kluwer, Dordrecht
    • G. Sobczyk, Simplicial calculus with geometric algebra (http://modelingnts.la.asu.edu/pdf/SIMP-CAL.pdf), in Clifford Algebras and Their Applications in Mathematical Physics, A. Micali, R. Boudet, and J. Helmstetter, eds., Kluwer, Dordrecht, 1992, p. 279-292.
    • (1992) Clifford Algebras and Their Applications in Mathematical Physics , pp. 279-292
    • Sobczyk, G.1
  • 75
    • 0042241128 scopus 로고
    • Differential forms in geometric calculus
    • F. Brackx et al., eds., Kluwer, Dordrecht
    • D. Hestenes, Differential forms in geometric calculus (http://modelingnts.la.asu.edu/pdf/DIFFORM.pdf), in Clifford Algebras and Their Applications in Mathematical Physics, F. Brackx et al., eds., Kluwer, Dordrecht, 1993, p. 269-285.
    • (1993) Clifford Algebras and Their Applications in Mathematical Physics , pp. 269-285
    • Hestenes, D.1
  • 76
    • 0002256263 scopus 로고
    • Projective geometry with Clifford algebra
    • D. Hestenes and R. Ziegler, Projective geometry with Clifford algebra (http://modelingnts.la.asu.edu/pdf/PGwithCA.pdf). Acta Appl. Math. 23, 25-63 (1991).
    • (1991) Acta Appl. Math. , vol.23 , pp. 25-63
    • Hestenes, D.1    Ziegler, R.2
  • 77
    • 78751675006 scopus 로고    scopus 로고
    • D. Hestenes, H. Li, and A. Rockwood, New algebraic tools for computational geometry, 1999
    • D. Hestenes, H. Li, and A. Rockwood, New algebraic tools for computational geometry (http://modelingnts.la.asu.edu/pdf/, 1999).
  • 78
    • 1342341291 scopus 로고    scopus 로고
    • The inner products of geometric algebra
    • L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston
    • L. Dorst, The inner products of geometric algebra, in Applications of Geometric Algebra in Computer Science and Engineering, L. Dorst, C. Doran, and J. Lasenby, eds., Birkhäuser, Boston, 2002, p. 35-46.
    • (2002) Applications of Geometric Algebra in Computer Science and Engineering , pp. 35-46
    • Dorst, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.