Forward-backward semiclassical dynamics with single-bead coherent state density

Molecular Physics

Volumn 106, Issue 2-4, 2008, Pages 443-453

  Chen, Jonathan ^a   Makri, Nancy ^a  

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

Author keywords

Correlation functions; Dynamics; Semiclassical approximation

Indexed keywords

APPROXIMATION THEORY; COHERENT LIGHT; CORRELATION METHODS; FUNCTION EVALUATION; NUMERICAL METHODS;

COHERENT STATE DENSITY; CORRELATION FUNCTIONS; FORWARD-BACKWARD SEMICLASSICAL DYNAMICS (FBSD); SEMICLASSICAL APPROXIMATION;

MOLECULAR DYNAMICS;

EID: 42149190099     PISSN: 00268976     EISSN: 13623028     Source Type: Journal    
DOI: 10.1080/00268970701854797     Document Type: Article

References (60)

1. J.H. Van Vleck, Proc. Nat. Acad, Sci. USA. 14, 178 (1928).
2. C. Morette, Phys. Rev., 81, 848 (1952).
3. W.H. Miller, Adv. Chem. Phys.. 25, 69 (1974).
4. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics. (Springer, New York, 1990).
5. M.S. Child, Semiclassical Mechanics with Molecular Applications. (Clarendon, Oxford, 1991).
6. R.P. Feynman and J.F.L. Vernon, Ann. Phys. 24, 118 (1963).
7. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals. (McGraw-Hill, New York, 1965).
8. L.S. Schulman, Techniques and Applications of Path Integration. (John Wiley and Sons, New York, 1981).
9. W.H. Miller, J. Chem. Phys. 53, 3578 (1970).
10. M.F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
11. E.J. Heller, J. Chem. Phys. 94, 2723 (1991).
12. W.H. Miller, J. Chem. Phys. 95, 9428 (1991).
13. E.J. Heller, J. Chem. Phys. 95, 9431 (1991).
14. J.D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 289 (1988).
15. N. Makri, Comput. Phys. Commun. 63, 389 (1991).
16. V.S. Filinov, Nucl. Phys. B. 271, 717 (1986).
17. N. Makri and W. H. Miller, Chem. Phys. Lett. 139, 10 (1987).
18. C. Mak and D. Chandler, Phys. Rev. A. 41, 5709 (1990).
19. C.H. Mak, R. Egger, and J. Gottschick, Phys. Rev. Lett. 81, 4533 (1998).
20. N. Makri, Chem. Phys. Lett. 400, 446 (2004).
21. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 108, 9726 (1998).
22. J.A. Poulsen, G. Nyman, and P. J. Rossky, J. Chem. Phys. 119, 12179 (2003).
23. N. Makri and K. Thompson, Chem. Phys. Lett. 291, 101 (1998).
24. K. Thompson and N. Makri, J. Chem. Phys. 110, 1343 (1999).
25. K. Thompson and N. Makri, Phys. Rev. E. 59, R4729 (1999).
26. J. Shao and N. Makri, J. Phys. Chem. A. 103, 7753 (1999).
27. J. Shao and N. Makri, J. Phys. Chem. A. 103, 9479 (1999).
28. N. Makri, A. Nakayama, and N. Wright, J. Theor. Comput. Chem. 3, 391 (2004).
29. W.H. Miller, Faraday Discuss. 110, 1 (1998).
30. X. Sun and W. H. Miller, J. Chem. Phys. 110, 6635 (1999).
31. D.E. Skinner and W. H. Miller, J. Chem. Phys. 111, 10787 (1999).
32. H. Wang, M. Thoss, K. L. Sorge, R. Gelabert, X. Gimenez, and W. H. Miller, J. Chem. Phys. 114, 2562 (2001).
33. M. Thoss, H. Wang, and W. H. Miller, J. Chem. Phys. 114, 9220 (2001).
34. E.J. Wigner, Chem. Phys. 5, 720 (1937).
35. E. Jezek and N. Makri, J. Phys. Chem. 105, 2851 (2001).
36. N. Makri, J. Phys. Chem. B. 106, 8390 (2002).
37. A. Nakayama and N. Makri, Proc. Nat. Acad Sci. USA. 102, 4230 (2005).
38. N.J. Wright and N. Makri, J. Chem. Phys. 119, 1634 (2003).
39. A. Nakayama and N. Makri, J. Chem. Phys. 119, 8592 (2003).
40. C.P. Lawrence, A. Nakayama, N. Makri, and J. L. Skinner, J. Chem. Phys.. 120, 6621 (2004).
41. Q. Shi and E. Geva, J. Phys. Chem. A. 107, 9059 (2003).
42. Q. Shi and E. Geva, J. Phys. Chem. A. 107, 9070 (2003).
43. P.A. Frantsuzov, A. Neumaier, and V. A. Mandelshtam, Chem. Phys. Lett. 381, 117 (2003).
44. P.A. Frantsuzov and V. A. Mandelshtam, J. Chem. Phys. 121, 9247 (2004).
45. J. Shao and E. Pollak, J. Chem. Phys. 125, 133502 (2006).
46. N. Makri and J. Shao, in Accurate Descriptiono Of Low-lying Electronic States and Potential Energy Surfaces, edited by M. Hoffmann (Oxford University Press, Oxford, UK, 2002).
47. M.F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959).
48. D. Chandler and P. G. Wolynes, J. Chem. Phys. 74, 4078 (1981).
49. N.J. Wright and N. Makri, J. Phys. Chem. B. 108, 6816 (2004).
50. N. Makri and W. H. Miller, J. Chem. Phys. 116, 9207 (2002).
51. N. Makri and W. H. Miller, J. Chem. Phys. 90, 904 (1989).
52. D.M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
53. B.J. Braams, T. F. Miller, and D. E. Manolopoulos, Chem. Phys. Lett. 418, 179 (2006).
54. J. Liu and N. Makri, Chem. Phys. 322, 23 (2006).
55. J. Shao and N. Makri, Phys. Rev. E. 59, 269 (1999).
56. N. Makri, J. Phys. Chem, 103, 2823 (1999).
57. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4611 (1995).
58. J. Shao and N. Makri, J. Chem. Phys. 116, 507 (2002).
59. J. Shao and N. Makri, Chem. Phys. 268, 1 (2001).
60. J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird, Molecular Theory of Gases and Liquids. (Wiley, New York, 1954).