The geometry of reaction dynamics

Nonlinearity

Volumn 15, Issue 4, 2002, Pages 957-992

  Uzer, T ^a   Jaffé, Charles ^b   Palacián, Jesús ^c   Yanguas, Patricia ^c   Wiggins, Stephen ^d  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b WEST VIRGINIA UNIVERSITY   (United States)

^c PUBLIC UNIVERSITY OF NAVARRE   (Spain)

^d UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011649458     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/4/301     Document Type: Article

References (81)

1. Arnol'd V I, Kozlov V V and Neishtadt A I 1988 Mathematical Aspects of Classical and Celestial Mechanics (New York: Springer)
2. Bellomo P, Family D and Uzer T 1997 J. Phys. Chem. A 101 8902
3. Bohr A and Mottelson B R 1975 Nuclear Structure vol II (MA: Benjamin Reading)
4. Braun P A and Solov'ev E A 1984 Sov. Phys. JETP 59 38
5. Connerade J P 1998 Highly Excited Atoms (Cambridge: Cambridge University Press)
6. Davis M J and Heller E J 1981 J. Chem. Phys. 75 246
7. Davis M J 1985 J. Chem. Phys. 83 1016 Davis M J 1987 J. Chem. Phys. 86 3978 Davis M J and Gray S K 1986 J. Chem. Phys. 84 5389 Gray S K, Rice S A and Davis M J 1986 J. Phys. Chem. 90 3470 Davis M J 1988 J. Phys. Chem. 92 3124
8. Davis M J 1985 J. Chem. Phys. 83 1016 Davis M J 1987 J. Chem. Phys. 86 3978 Davis M J and Gray S K 1986 J. Chem. Phys. 84 5389 Gray S K, Rice S A and Davis M J 1986 J. Phys. Chem. 90 3470 Davis M J 1988 J. Phys. Chem. 92 3124
9. Davis M J 1985 J. Chem. Phys. 83 1016 Davis M J 1987 J. Chem. Phys. 86 3978 Davis M J and Gray S K 1986 J. Chem. Phys. 84 5389 Gray S K, Rice S A and Davis M J 1986 J. Phys. Chem. 90 3470 Davis M J 1988 J. Phys. Chem. 92 3124
10. Davis M J 1985 J. Chem. Phys. 83 1016 Davis M J 1987 J. Chem. Phys. 86 3978 Davis M J and Gray S K 1986 J. Chem. Phys. 84 5389 Gray S K, Rice S A and Davis M J 1986 J. Phys. Chem. 90 3470 Davis M J 1988 J. Phys. Chem. 92 3124
11. Davis M J 1985 J. Chem. Phys. 83 1016 Davis M J 1987 J. Chem. Phys. 86 3978 Davis M J and Gray S K 1986 J. Chem. Phys. 84 5389 Gray S K, Rice S A and Davis M J 1986 J. Phys. Chem. 90 3470 Davis M J 1988 J. Phys. Chem. 92 3124
12. Delande D and Gay J-C 1989 The Hydrogen Atom ed G Bassani, M Inguscio and T Haensch (Berlin: Springer) pp 323-34
13. Deprit A 1969 Celestial Mech. 1 12
14. Dignam M M and Sipe J E 1992 Phys. Rev. B 45 6819
15. Eckhardt B 1988 Phys. Rep. 163 205
16. Eckhardt B 1995 J. Phys. A: Math. Gen. 28 3469
17. Eyring H 1935 J. Chem. Phys. 3 107
18. Eyring H and Polanyi M 1931 Z. Physik. Chem. B 12 279
19. Farrelly D 1994 Phys. Lett. A 191 265
20. Forst W 1992 Theory of Unimolecular Reactions (New York: Academic) Robinson P J and Holbrook K A 1992 Unimolecular Reactions (New York: Wiley)
21. Forst W 1992 Theory of Unimolecular Reactions (New York: Academic) Robinson P J and Holbrook K A 1992 Unimolecular Reactions (New York: Wiley)
22. Freeman R R and Kleppner D 1976 Phys. Rev. A 14 1614
23. Friedrich H and Wintgen D 1989 Phys. Rep. 183 37
24. Gallagher T F 1994 Rydberg Atoms (Cambridge: Cambridge University Press)
25. Gutzwiller M 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
26. Hasegawa H, Robnik M and Wunner G 1989 Prog. Theor. Phys. Suppl. 98 198
27. Hernández R and Miller W H 1993 Chem. Phys. Lett. 214 129
28. Herzberg G 1987 Annu. Rev. Phys. Chem. 38 27
29. Hinde R J and Berry R S 1993 J. Chem. Phys. 99 2942 Komatsuzaki T and Berry R S 1999 J. Chem. Phys. 110 9160 Komatsuzaki T and Berry R S 1999 Phys. Chem. Chem. Phys. 1 1387 Komatsuzaki T and Berry R S 2001 J. Chem. Phys. 115 4105 Komatsuzaki T and Berry R S 2001 Proc. Natl. Acad. Sci. 98 7666
30. Hinde R J and Berry R S 1993 J. Chem. Phys. 99 2942 Komatsuzaki T and Berry R S 1999 J. Chem. Phys. 110 9160 Komatsuzaki T and Berry R S 1999 Phys. Chem. Chem. Phys. 1 1387 Komatsuzaki T and Berry R S 2001 J. Chem. Phys. 115 4105 Komatsuzaki T and Berry R S 2001 Proc. Natl. Acad. Sci. 98 7666
31. Hinde R J and Berry R S 1993 J. Chem. Phys. 99 2942 Komatsuzaki T and Berry R S 1999 J. Chem. Phys. 110 9160 Komatsuzaki T and Berry R S 1999 Phys. Chem. Chem. Phys. 1 1387 Komatsuzaki T and Berry R S 2001 J. Chem. Phys. 115 4105 Komatsuzaki T and Berry R S 2001 Proc. Natl. Acad. Sci. 98 7666
32. Hinde R J and Berry R S 1993 J. Chem. Phys. 99 2942 Komatsuzaki T and Berry R S 1999 J. Chem. Phys. 110 9160 Komatsuzaki T and Berry R S 1999 Phys. Chem. Chem. Phys. 1 1387 Komatsuzaki T and Berry R S 2001 J. Chem. Phys. 115 4105 Komatsuzaki T and Berry R S 2001 Proc. Natl. Acad. Sci. 98 7666
33. Hinde R J and Berry R S 1993 J. Chem. Phys. 99 2942 Komatsuzaki T and Berry R S 1999 J. Chem. Phys. 110 9160 Komatsuzaki T and Berry R S 1999 Phys. Chem. Chem. Phys. 1 1387 Komatsuzaki T and Berry R S 2001 J. Chem. Phys. 115 4105 Komatsuzaki T and Berry R S 2001 Proc. Natl. Acad. Sci. 98 7666
34. Hirschfelder J O and Wigner E 1939 J. Chem. Phys. 7 616
35. Horiuti J 1937 Bull. Chem. Soc. Japan 13 210
36. Jaffé C, Farrelly D and Uzer T 2000 Phys. Rev. Lett. 84 610 Jaffe≥ C, Farrelly D and Uzer T 1999 Phys. Rev. A 60 3833
37. Jaffé C, Farrelly D and Uzer T 2000 Phys. Rev. Lett. 84 610 Jaffe≥ C, Farrelly D and Uzer T 1999 Phys. Rev. A 60 3833
38. Johnson B R, Hirschfelder J D and Yang K H 1983 Rev. Mod. Phys. 55 109
39. Keck J C 1967 Adv. Chem. Phys. 13 85
40. Truhlar D G, Garreu B C and Klippenstein S J 1996 J. Phys. Chem. 100 12271
41. Keshavamurthy S and Miller W H 1993 Chem. Phys. Lett. 205 96
42. Koch P M and van Leeuwen K A H 1995 Phys. Rep. 255 289
43. Koeppl G W 1974 J. Am. Chem. Soc. 96 6539
44. MacKay R S 1990 Phys. Lett. A 145 425 MacKay R S 1991 Nonlinearity 4 155
45. MacKay R S 1990 Phys. Lett. A 145 425 MacKay R S 1991 Nonlinearity 4 155
46. Main J and Wunner G 1992 Phys. Rev. Lett. 69 586
47. Main J and Wunner G 1994 J. Phys. B 27 2835
48. Marcelin A 1915 Ann. Chim. Phys. 3 158
49. Mathys G 1989 Fundamentals of Cosmic Phys. 13 143
50. Meyer K R and Hall G R 1992 Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Applied Mathematical Sciences vol 90) (New York: Springer)
51. Mignard F 1982 Icarus 49 347
52. Miller W H 1977 Faraday Discuss. Chem. Soc. Lond. 62 40
53. Miller W H 1998 Faraday Discuss. Chem. Soc. Lond. 110 1
54. Ozorio de Almeida A M, de León N, Mehta M A and Marston C C 1990 Physica D 46 265
55. Palacián J and Yanguas P 2000 Nonlinearity 13 1021
56. Pechukas P 1976 Dynamics of Molecular Collisions (part B) ed W H Miller (New York: Plenum Press) chapter 6
57. Pechukas P and McLafferty F J 1973 J. Chem. Phys. 58 1622 Pollak E and Pechukas P 1978 J. Chem. Phys. 69 1218 Pechukas P and Pollak E 1979 J. Chem. Phys. 71 2062
58. Pechukas P and McLafferty F J 1973 J. Chem. Phys. 58 1622 Pollak E and Pechukas P 1978 J. Chem. Phys. 69 1218 Pechukas P and Pollak E 1979 J. Chem. Phys. 71 2062
59. Pechukas P and McLafferty F J 1973 J. Chem. Phys. 58 1622 Pollak E and Pechukas P 1978 J. Chem. Phys. 69 1218 Pechukas P and Pollak E 1979 J. Chem. Phys. 71 2062
60. Pollak E 1985 Theory of Chemical Reactions vol III ed M Baer (Boca Raton, FL: CRC) chapter 2
61. Raithel G, Fauth M and Walther H 1991 Phys. Rev. A 44 1898
62. Raithel G, Fauth M and Walther H 1993 Phys. Rev. A 47 419
63. Raithel G and Walther H 1994 Phys. Rev. A 49 1646
64. Schmelcher P 1993 Phys. Rev. B 48 14642
65. Solov'ev E A 1983 Sov. Phys. JETP 58 63
66. Tiyapan A and Jaffé C 1993 J. Chem. Phys. 99 2765 Tiyapan A and Jaffé C 1994 J. Chem. Phys. 101 10393 Tiyapan A and Jaffé C 1995 J. Chem. Phys. 103 5499
67. Tiyapan A and Jaffé C 1993 J. Chem. Phys. 99 2765 Tiyapan A and Jaffé C 1994 J. Chem. Phys. 101 10393 Tiyapan A and Jaffé C 1995 J. Chem. Phys. 103 5499
68. Tiyapan A and Jaffé C 1993 J. Chem. Phys. 99 2765 Tiyapan A and Jaffé C 1994 J. Chem. Phys. 101 10393 Tiyapan A and Jaffé C 1995 J. Chem. Phys. 103 5499
69. Toller M. Jacucci G, DeLorenzi G and Flynn C P 1985 Phys. Rev. B 32 2082
70. Uzer T 2001 Phys. Scr. T90 176
71. Uzer T and Farrelly D 1995 Phys. Rev. A 52 R2501
72. Uzer T, Lee E and Farrelly D 1998 Phys. Rev. A 58 4761
73. von Milczewski J, Diercksen G H F and Uzer T 1994 Phys. Rev. Lett. 73 2428
74. von Milczewski J and Uzer T 1997 Phys. Rev. E 55 6540
75. Westerberg K M and Floudas C A 1999 J. Chem. Phys. 110 9259
76. Wiebusch G et al 1989 Phys. Rev. Lett. 62 2821
77. Wiggins S 1992 Chaotic Transport in Dynamical Systems (New York: Springer)
78. Wiggins S 1994 Normally Hyperbolic Invariant Manifolds in Dynamical Systems (New York: Springer)
79. Wiggins S, Wiesenfeld L, Jaffé C and Uzer T 2001 Phys. Rev. Lett. 86 5478
80. Wigner E P 1937 J. Chem. Phys. 5 720
81. Wigner E P 1938 Trans. Faraday Soc. 34 29