Similarity transformed semiclassical dynamics

Journal of Chemical Physics

Volumn 119, Issue 23, 2003, Pages 12153-12162

  Van Voorhis, Troy ^a,b   Heller, Eric J ^a,b  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; HAMILTONIANS; INITIAL VALUE PROBLEMS; INTEGRAL EQUATIONS; MONTE CARLO METHODS;

HENON-HEILES MODEL POTENTIALS; INTEGRAL SMOOTHING; SEMICLASSICAL PROPAGATOR; SIMILARITY TRANSFORMED SEMICLASSICAL DYNAMICS;

QUANTUM THEORY;

EID: 0346688952     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1626621     Document Type: Article

References (52)

1. J. R. Klauder and B. S. Skagerstam, Coherent States, Applications in Physics and Mathematical Physics (World Scientific, Singapore, 1985).
2. E. J. Heller, J. Chem. Phys. 62, 1544 (1975).
3. E. J. Heller, J. Chem. Phys. 66, 5777 (1977).
4. E. J. Heller, J. Chem. Phys. 67, 3339 (1977).
5. M. J. Davis and E. J. Heller, J. Chem. Phys. 71, 3383 (1979).
6. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
7. K. G. Kay, J. Chem. Phys. 100, 4377 (1994).
8. W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
9. N. Makri, Annu. Rev. Phys. Chem. 50, 167 (1999).
10. F. Grossmann and A. L. Xavier, Jr., J. Phys. A 243, 243 (1998).
11. J. R. Klauder, Phys. Rev. D 19, 2349 (1979).
12. Y. Weissman, J. Chem. Phys. 76, 4067 (1982).
13. H. G. Solari, J. Math. Phys. 27, 1351 (1986).
14. J. R. Klauder, Random Media (Springer, New York, 1987), pp. 163-182.
15. M. Baranger et al., J. Phys. A 34, 7227 (2001).
16. S. Adachi, Ann. Phys. (N.Y.) 195, 45 (1989).
17. A. L. Xavier, Jr. and M. A. M. de Aguiar, Ann. Phys. (N.Y.) 252, 458 (1996).
18. F. Grossmann, Phys. Rev. A 57, 3256 (1998).
19. A. L. Xavier and M. A. M. de Aguiar, Phys. Rev. Lett. 79, 3323 (1997).
20. A. Rubin and J. R. Klauder, Ann. Phys. (N.Y.) 241, 212 (1995).
21. T. Van Voorhis and E. J. Heller, Phys. Rev. A 66, 050501 (2002).
22. J. Kurchan, P. Leboeuf, and M. Saraceno, Phys. Rev. A 40, 6800 (1989).
23. D. Huber and E. J. Heller, J. Chem. Phys. 87, 5302 (1987).
24. D. Huber, E. J. Heller, and R. G. Littlejohn, J. Chem. Phys. 89, 2003 (1988).
25. S. C. Creagh and N. D. Whelan, Phys. Rev. Lett. 77, 4975 (1996).
26. S. C. Creagh and N. D. Whelan, Phys. Rev. Lett. 82, 5237 (1999).
27. A. Shudo and K. S. Ikeda, Phys. Rev. Lett. 74, 682 (1995).
28. A. Shudo and K. S. Ikeda, Phys. Rev. Lett. 76, 4151 (1996).
29. A. Shudo and K. S. Ikeda, Physica D 115, 234 (1998).
30. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
31. W. H. Miller, J. Chem. Phys. 53, 3578 (1970).
32. The NR method is discussed, for example, in the Numerical Recipes books, available at .
33. E. J. Heller, J. Chem. Phys. 75, 2923 (1981).
34. S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991).
35. R. Marcinek and E. Pollak, J. Chem. Phys. 100, 5894 (1994).
36. K. G. Kay, J. Chem. Phys. 100, 4432 (1994).
37. G. G. Stokes, Trans. Cambridge Philos. Soc. 10, 106 (1864).
38. G. G. Stokes, Trans. Cambridge Philos. Soc. 11, 412 (1871).
39. M. V. Berry, Proc. R. Soc. London, Ser. A 422, 7 (1989).
40. A. Voros, Phys. Rev. A 40, 6814 (1989).
41. M. L. Brewer, J. Chem. Phys. 111, 6168 (1999).
42. E. J. Heller, J. Chem. Phys. 68, 2066 (1978).
43. X. S. Sun and W. H. Miller, J. Chem. Phys. 117, 5522 (2002).
44. Y. Elran and K. G. Kay, J. Chem. Phys. 110, 3653 (1999).
45. A. R. Walton and D. E. Manolopoulos, Mol. Phys. 87, 961 (1996).
46. H. Wang, D. E. Manolopoulos, and W. H. Miller, J. Chem. Phys. 115, 6317 (2001).
47. M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1983).
48. M. Nest and H. D. Meyer, J. Chem. Phys. 117, 10499 (2002).
49. K. T. R. Davies, T. E. Huston and M. Baranger, Chaos 2, 215 (1992).
50. M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971).
51. M. Kús, F. Haake, and D. Delande, Phys. Rev. Lett. 71, 2167 (1993).
52. T. Van Voorhis and D. R. Reichman J. Chem. Phys. (in press).