Globally uniform semiclassical wave functions for multidimensional systems

Journal of Chemical Physics

Volumn 109, Issue 7, 1998, Pages 2644-2655

  Madhusoodanan, M ^a   Kay, K G ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001135117     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.476875     Document Type: Article

References (63)

1. M. S. Child, Semiclassical Mechanics with Molecular Applications (Clarendon, Oxford, 1991).
2. M. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972).
3. M. Fusco Girard, J. Phys. A 29, 7881 (1996);
4. J. Chem. Phys. 107, 7960 (1997).
5. V. P. Maslov and M. V. Fedoriouk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Boston, 1981).
6. J. B. Delos, Adv. Chem. Phys. 65, 161 (1986).
7. J. B. Delos, S. K. Knudson, and B. Bloom, J. Chem. Phys. 83, 5703 (1985);
8. S. K. Knudson, J. B. Delos, and D. W. Noid, 84, 6886 (1986).
9. M. V. Berry, Adv. Phys. 25, 1 (1976);
10. J. N. L. Connor, Mol. Phys. 31, 33 (1976);
11. J. N. L. Connor, P. R. Curtis, and D. Farrelly, 48, 1305 (1983).
12. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 70, 1405 (1993).
13. D. Provost and P. Brumer, Phys. Rev. Lett. 74, 250 (1995).
14. D. Zor and K. G. Kay, Phys. Rev. Lett. 76, 1990 (1996).
15. S. C. Miller and R. H. Good, Phys. Rev. 91, 174 (1953).
16. J. N. L. Connor, Mol. Phys. 27, 853 (1974).
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. 85, 2069 (1986).
19. K. G. Kay, J. Chem. Phys. 100, 4377 (1994).
20. K. G. Kay, J. Chem. Phys. 100, 4432 (1994).
21. K. G. Kay, J. Chem. Phys. 101, 2250 (1994).
22. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982).
23. M. J. Davis and E. J. Heller, J. Chem. Phys. 75, 3916 (1981);
24. N. DeLeon and E. J. Heller, 78, 4005 (1983);
25. 81, 5957 (1984).
26. E. J. Heller, J. Chem. Phys. 75, 2923 (1981).
27. E. A. Solov'ev, Sov. Phys. JETP 48, 635 (1978).
28. R. T. Skodje, F. Borondo, and W. P. Reinhardt, J. Chem. Phys. 82, 4611 (1985).
29. R. T. Skodje and F. Borondo, J. Chem. Phys. 85, 2760 (1986).
30. R. T. Skodje and F. Borondo, Chem. Phys. Lett. 118, 409 (1985).
31. R. G. Littlejohn and J. M. Robbins, Phys. Rev. A 36, 2953 (1987).
32. G. Campolieti and P. Brumer, Phys. Rev. A 50, 997 (1994).
33. J. R. Klauder, Phys. Rev. Lett. 56, 897 (1966);
34. 59, 748 (1987).
35. S. W. McDonald, Phys. Rev. Lett. 54, 1211 (1985).
36. A. Voros, Phys. Rev. A 40, 6814 (1989);
37. J. Kurchan, P. Leboef, and M. Saraceno, 40, 6800 (1989).
38. R. G. Littlejohn, Phys. Rev. Lett. 54, 1742 (1985);
39. 56, 2000 (1986).
40. K. G. Kay (unpublished).
41. C. Jaffé and W. P. Reinhardt, J. Chem. Phys. 77, 5191 (1982);
42. R. B. Shirts and W. P. Reinhardt, 77, 5204 (1982).
43. K. S. Sorbie and N. C. Handy, Mol. Phys. 31, 97 (1976).
44. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978).
45. B. Ramachandran and K. G. Kay, J. Chem. Phys. 99, 3659 (1993).
46. A. A. Zembekov, F. Borondo, and R. M. Benito, J. Chem. Phys. 107, 7934 (1997);
47. M. J. Davis, J. Phys. Chem. 92, 3124 (1988);
48. A. M. Ozorio de Almeida, Nonlinearity 2, 519 (1989).
49. M. J. Davis and E. J. Heller, J. Chem. Phys. 75, 246 (1981);
50. E. J. Heller, Faraday Discuss. Chem. Soc. 75, 141 (1983).
51. K. G. Kay, J. Chem. Phys. 107, 2313 (1997).
52. B. Ramachandran and K. G. Kay, Phys. Rev. A 41, 1757 (1990).
53. A. R. Walton and D. E. Manolopoulos, Mol. Phys. 87, 961 (1996);
54. E. J. Heller, J. Chem. Phys. 94, 2723 (1991).
55. V. S. Filinov, Nucl. Phys. B 271, 717 (1986);
56. N. Makri and W. H. Miller, Chem. Phys. Lett. 139, 10 (1987);
57. J. Chem. Phys. 89, 2170 (1988).
58. I. C. Percival and N. Pomphrey, Mol. Phys. 31, 97 (1976);
59. C. W. Eaker and G. C. Schatz, J. Chem. Phys. 81, 2394 (1984);
60. C. W. Eaker, G. C. Schatz, N. DeLeon, and E. J. Heller, 81, 5913 (1984);
61. C. C. Martens and G. S. Ezra, 83, 2990 (1985);
62. 86, 279 (1987).
63. K. Sohlberg and R. B. Shirts, J. Chem. Phys. 101, 7763 (1994).