Forward-backward semiclassical dynamics in the interaction representation

Journal of Chemical Physics

Volumn 113, Issue 9, 2000, Pages 3681-3685

  Shao, Jiushu ^a   Makri, Nancy ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ELECTROMAGNETIC FIELD EFFECTS; ELECTROMAGNETIC WAVE PROPAGATION; ELECTRON TUNNELING; ISOMERIZATION; MOLECULAR VIBRATIONS; NUMERICAL METHODS; OSCILLATIONS; QUANTUM THEORY;

DECOHERENCE EFFECTS; FORWARD BACKWARD SEMICLASSICAL DYNAMICS; LONG TIME TUNNELING DYNAMICS;

MOLECULAR DYNAMICS;

EID: 0034271284     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1287823     Document Type: Article

References (84)

1. J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928).
2. C. Morette, Phys. Rev. 81, 848 (1952).
3. R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948).
4. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991).
5. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
6. W. H. Miller, Adv. Chem. Phys. 30, 77 (1975).
7. M. S. Child, Semiclassical Mechanics with Molecular Applications (Clarendon, Oxford, 1991).
8. M. A. Sepulveda, S. Tomsovic, and E. J. Heller, Phys. Rev. Lett. 69, 402 (1992).
9. M. F. Herman, Annu. Rev. Phys. Chem. 45, 83 (1994).
10. M. A. Sepulveda and F. Grossmann, Adv. Chem. Phys. XCVI, 191 (1996).
11. S. Garashchuk, F. Grossmann, and D. Tannor, J. Chem. Soc., Faraday Trans. 93, 781 (1997).
12. F. Grossmann, Phys. Rev. A 60, 1791 (1999).
13. K. Kay, J. Chem. Phys. 107, 2313 (1997).
14. W. H. Miller, J. Chem. Phys. 95, 9428 (1991).
15. E. J. Heller, J. Chem. Phys. 94, 2723 (1991).
16. E. J. Heller, J. Chem. Phys. 95, 9431 (1991).
17. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
18. E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
19. V. S. Filinov, Nucl. Phys. B 271, 717 (1986).
20. N. Makri and W. H. Miller, Chem. Phys. Lett. 139, 10 (1987).
21. N. Makri and W. H. Miller, J. Chem. Phys. 89, 2170 (1988).
22. S. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988).
23. A. R. Walton and D. E. Manolopoulos, Mol. Phys. 84, 961 (1996).
24. M. L. Brewer, J. S. Hulme, and D. E. Manolopoulos, J. Chem. Phys. 106, 4832 (1997).
25. N. Makri and K. Thompson, Chem. Phys. Lett. 291, 101 (1998).
26. K. Thompson and N. Makri, J. Chem. Phys. 110, 1343 (1999).
27. W. H. Miller, Faraday Discuss. 110, 1 (1998).
28. V. Batista, M. T. Zanni, J. Greenblatt, D. M. Neumark, and W. H. Miller, J. Chem. Phys. 110, 3736 (1999).
29. X. Sun and W. H. Miller, J. Chem. Phys. 110, 6635 (1999).
30. K. Thompson and N. Makri, Phys. Rev. E 59, R4729 (1999).
31. O. Kuhn and N. Makri, J. Phys. Chem. 103, 9487 (1999).
32. J. Shao and N. Makri, J. Phys. Chem. 103, 7753 (1999).
33. J. Shao and N. Makri, J. Phys. Chem. 103, 9479 (1999).
34. E. J. Heller, J. Chem. Phys. 65, 1289 (1976).
35. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 108, 9726 (1998).
36. R. T. Skodje, Chem. Phys. Lett. 109, 221 (1984).
37. K. B. Moller, J. P. Dahl, and N. E. Henriksen, J. Phys. Chem. 98, 3272 (1994).
38. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995).
39. N. Makri, J. Math. Phys. 36, 2430 (1995).
40. N. Makri, J. Phys. Chem. 103, 2823 (1999).
41. A. Genz and J. Monahan, J. Comput. Appl. Math. 112, 71 (1999).
42. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4611 (1995).
43. J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928).
44. C. Morette, Phys. Rev. 81, 848 (1952).
45. R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948).
46. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991).
47. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
48. W. H. Miller, Adv. Chem. Phys. 30, 77 (1975).
49. M. S. Child, Semiclassical Mechanics with Molecular Applications (Clarendon, Oxford, 1991).
50. M. A. Sepulveda, S. Tomsovic, and E. J. Heller, Phys. Rev. Lett. 69, 402 (1992).
51. M. F. Herman, Annu. Rev. Phys. Chem. 45, 83 (1994).
52. M. A. Sepulveda and F. Grossmann, Adv. Chem. Phys. XCVI, 191 (1996).
53. S. Garashchuk, F. Grossmann, and D. Tannor, J. Chem. Soc., Faraday Trans. 93, 781 (1997).
54. F. Grossmann, Phys. Rev. A 60, 1791 (1999).
55. K. Kay, J. Chem. Phys. 107, 2313 (1997).
56. W. H. Miller, J. Chem. Phys. 95, 9428 (1991).
57. E. J. Heller, J. Chem. Phys. 94, 2723 (1991).
58. E. J. Heller, J. Chem. Phys. 95, 9431 (1991).
59. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
60. E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
61. V. S. Filinov, Nucl. Phys. B 271, 717 (1986).
62. N. Makri and W. H. Miller, Chem. Phys. Lett. 139, 10 (1987).
63. N. Makri and W. H. Miller, J. Chem. Phys. 89, 2170 (1988).
64. J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988).
65. A. R. Walton and D. E. Manolopoulos, Mol. Phys. 84, 961 (1996).
66. M. L. Brewer, J. S. Hulme, and D. E. Manolopoulos, J. Chem. Phys. 106, 4832 (1997).
67. N. Makri and K. Thompson, Chem. Phys. Lett. 291, 101 (1998).
68. K. Thompson and N. Makri, J. Chem. Phys. 110, 1343 (1999).
69. W. H. Miller, Faraday Discuss. 110, 1 (1998).
70. V. Batista, M. T. Zanni, J. Greenblatt, D. M. Neumark, and W. H. Miller, J. Chem. Phys. 110, 3736 (1999).
71. X. Sun and W. H. Miller, J. Chem. Phys. 110, 6635 (1999).
72. K. Thompson and N. Makri, Phys. Rev. E 59, R4729 (1999).
73. O. Kuhn and N. Makri, J. Phys. Chem. 103, 9487 (1999).
74. J. Shao and N. Makri, J. Phys. Chem. 103, 7753 (1999).
75. J. Shao and N. Makri, J. Phys. Chem. 103, 9479 (1999).
76. E. J. Heller, J. Chem. Phys. 65, 1289 (1976).
77. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 108, 9726 (1998).
78. R. T. Skodje, Chem. Phys. Lett. 109, 221 (1984).
79. K. B. Moller, J. P. Dahl, and N. E. Henriksen, J. Phys. Chem. 98, 3272 (1994).
80. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995).
81. N. Makri, J. Math. Phys. 36, 2430 (1995).
82. N. Makri, J. Phys. Chem. 103, 2823 (1999).
83. A. Genz and J. Monahan, J. Comput. Appl. Math. 112, 71 (1999).
84. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4611 (1995).