Semiclassical dynamics of nonadiabatic transitions in discrete-state systems using spin coherent-state path integrals

Journal of Chemical Physics

Volumn 111, Issue 24, 1999, Pages 10843-10851

  Lucke, Andreas ^a   Mak, C H ^b   Stockburger, Jürgen T ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000473686     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.480448     Document Type: Article

References (53)

1. L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Addison-Wesley, Reading, 1958).
2. R. A. Marcus, Rev. Mod. Phys. 65, 599 (1993).
3. P. A. M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930); E. J. Heller, J. Chem. Phys. 64, 63 (1976); R. B. Gerber, V. Buch, and M. A. Ratner, ibid. 77, 3022 (1982); B. Jackson, Annu. Rev. Phys. Chem. 46, 251 (1995).
4. P. A. M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930); E. J. Heller, J. Chem. Phys. 64, 63 (1976); R. B. Gerber, V. Buch, and M. A. Ratner, ibid. 77, 3022 (1982); B. Jackson, Annu. Rev. Phys. Chem. 46, 251 (1995).
5. P. A. M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930); E. J. Heller, J. Chem. Phys. 64, 63 (1976); R. B. Gerber, V. Buch, and M. A. Ratner, ibid. 77, 3022 (1982); B. Jackson, Annu. Rev. Phys. Chem. 46, 251 (1995).
6. P. A. M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930); E. J. Heller, J. Chem. Phys. 64, 63 (1976); R. B. Gerber, V. Buch, and M. A. Ratner, ibid. 77, 3022 (1982); B. Jackson, Annu. Rev. Phys. Chem. 46, 251 (1995).
7. J. C. Tully and R. K. Preston, J. Chem. Phys. 55, 562 (1971); J. C. Tully, in Modern Theoretical Chemistry: Dynamics of Molecular Collisions, edited by W. H. Miller (Plenum, New York, 1976), p. 217.
8. J. C. Tully and R. K. Preston, J. Chem. Phys. 55, 562 (1971); J. C. Tully, in Modern Theoretical Chemistry: Dynamics of Molecular Collisions, edited by W. H. Miller (Plenum, New York, 1976), p. 217.
9. W. T. Pollard, A. K. Felts, and R. A. Friesner, Adv. Chem. Phys. 93, 77 (1996).
10. P. Pechukas, Phys. Rev. 181, 174 (1969); F. J. Webster, J. Schnitker, M. S. Friedrichs, R. A. Friesner, and P. J. Rossky, Phys. Rev. Lett. 66, 3172 (1991);
11. P. Pechukas, Phys. Rev. 181, 174 (1969); F. J. Webster, J. Schnitker, M. S. Friedrichs, R. A. Friesner, and P. J. Rossky, Phys. Rev. Lett. 66, 3172 (1991);
12. F. Webster, P. J. Rossky, and R. A. Friesner, Comput. Phys. Commun. 63, 494 (1991).
13. H.-D. Meyer and W. H. Miller, J. Chem. Phys. 70, 3214 (1979); 71, 2156 (1979);
14. H.-D. Meyer and W. H. Miller, J. Chem. Phys. 70, 3214 (1979); 71, 2156 (1979); 72, 2272 (1980).
15. H.-D. Meyer and W. H. Miller, J. Chem. Phys. 70, 3214 (1979); 71, 2156 (1979); 72, 2272 (1980).
16. G. Stock and M. Thoss, Phys. Rev. Lett. 78, 578 (1997).
17. M. Thoss and G. Stock, Phys. Rev. A 59, 64 (1999).
18. W. H. Miller, J. Chem. Phys. 53, 3578 (1970).
19. E. J. Heller, J. Chem. Phys. 94, 2723 (1991); 95, 9431 (1994).
20. E. J. Heller, J. Chem. Phys. 94, 2723 (1991); 95, 9431 (1994).
21. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984); E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
22. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984); E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
23. G. Campolieti and P. Brumer, Phys. Rev. A 50, 997 (1994).
24. K. G. Kay, J. Chem. Phys. 100, 4377 (1994); 100, 4432 (1994); 101, 2250 (1994).
25. K. G. Kay, J. Chem. Phys. 100, 4377 (1994); 100, 4432 (1994); 101, 2250 (1994).
26. K. G. Kay, J. Chem. Phys. 100, 4377 (1994); 100, 4432 (1994); 101, 2250 (1994).
27. F. Grossmann and A. L. Xavier, Phys. Lett. A 243, 243 (1998).
28. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 108, 9726 (1998); X. Sun, H. Wang, and W. H. Miller, 109, 7064 (1998).
29. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 108, 9726 (1998); X. Sun, H. Wang, and W. H. Miller, 109, 7064 (1998).
30. X. Sun, H. Wang, and W. H. Miller, J. Chem. Phys. 109, 7064 (1998).
31. H. Wang, X. Song, D. Chandler, and W. H. Miller, J. Chem. Phys. 110, 4828 (1999).
32. J. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
33. J. Klauder, in Random Media, The IMA Volume in Mathematics and its Applications, edited by G. Papanicolaou (Springer, New York, 1987), Vol. 7.
34. A. Alscher and H. Grabert, J. Phys. A 32, 4907 (1999).
35. F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972).
36. J. Klauder, Phys. Rev. D 19, 2349 (1979).
37. J. M. Radcliffe, J. Phys. A 4, 313 (1971).
38. A. Auerbach, Interacting Electrons and Quantum Magnetism, Graduate Texts in Contemporary Physics (Springer, Berlin, 1994).
39. E. Fradkin, Field Theories of Condensed Matter Systems, Frontiers in Physics (Addison-Wesley, Reading, 1991).
40. E. Ercolessi, G. Morandi, F. Napoli, and P. Pieri, J. Math. Phys. 37, 535 (1996).
41. T. Suzuki, Nucl. Phys. A 398, 557 (1983); H. Kuratsuji and T. Suzuki, Suppl. Prog. Theor. Phys. 74/75, 209 (1983).
42. T. Suzuki, Nucl. Phys. A 398, 557 (1983); H. Kuratsuji and T. Suzuki, Suppl. Prog. Theor. Phys. 74/75, 209 (1983).
43. X. Sun and W. H. Miller, J. Chem. Phys. 106, 916 (1997).
44. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987); U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
45. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987); U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
46. A. Lucke, C. H. Mak, R. Egger, J. Stockburger, J. Ankerhold, and H. Grabert, J. Chem. Phys. 107, 8397 (1997).
47. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 18 (1963).
48. c(t)〉.
49. D. E. Makarov and N. Makri, Chem. Phys. Lett. 221, 482 (1994); N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995).
50. D. E. Makarov and N. Makri, Chem. Phys. Lett. 221, 482 (1994); N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995).
51. U. Müller and G. Stock, J. Chem. Phys. 107, 6230 (1997).
52. G. Stock and U. Müller, J. Chem. Phys. 111, 65 (1999); U. Müller and G. Stock, ibid. 111, 77 (1999).
53. G. Stock and U. Müller, J. Chem. Phys. 111, 65 (1999); U. Müller and G. Stock, ibid. 111, 77 (1999).