Quantum dissipative dynamics: A numerically exact methodology

Journal of Physical Chemistry A

Volumn 102, Issue 24, 1998, Pages 4414-4427

  Makri, Nancy ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001229476     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp980359y     Document Type: Review

References (86)

1. Feynman, R. P. Rev. Mod. Phys. 1948, 20, 367-387.
2. Feynman, R. P.; Hibbs, A. R. Quantum Mechanics and Path Integrals; McGraw-Hill: New York, 1965.
3. Thirumalai, D.; Berne, B. J. J. Chem. Phys. 1983, 79, 5029-5033.
4. Galliccio, E.; Berne, B. J. J. Chem. Phys. 1994, 101, 9909-9918.
5. Galliccio, E.; Berne, B. J. J. Chem. Phys. 1996, 105, 7064-7078.
6. Behrman, E. C.; Jongeward, G. A.; Wolynes, P. G. J. Chem. Phys. 1983, 79, 6277-6281.
7. Behrman, E. C.; Wolynes, P. G. J. Chem. Phys. 1985, 83, 5863-5869.
8. Cline, R. E., Jr.; Wolynes, P. G. J. Chem. Phys. 1988, 88, 4334-4350.
9. Mason, B. A.; Hess, K.; Cline, R. E.; Wolynes, P. G. Superlattices Microstruct. 1987, 3, 421-428.
10. Krempl, S.; Winterstetter, M.; Domcke, W. J. Chem. Phys. 1995, 102, 6499-6510.
11. Mak, C. H. Phys. Rev. Lett. 1992, 68, 899-902.
12. Mak, C. H.; Egger, R. Adv. Chem. Phys. 1996, XCIII, 39-76.
13. Filinov, V. S. Nucl. Phys. B 1986, 277, 717-725.
14. Makri, N.; Miller, W. H. Chem. Phys. Lett. 1987, 139, 10-14.
15. Makri, N.; Miller, W. H. J. Chem. Phys. 1988, 89, 2170-2177.
16. Doll, J. D.; Freeman, D. L. Adv. Chem. Phys. 1988, 73, 289-304.
17. Doll, J. D.; Freeman, D. L.; Gillan, M. J. Chem. Phys. Lett. 1988, 143, 277.
18. Doll, J. D.; Freeman, D. L.; Beck, T. L. Adv. Chem. Phys. 1990, 78, 61.
19. Mak, C.; Chandler, D. Phys. Rev. A 1990, 41, 5709-5712.
20. Mak, C. H.; Chandler, D. Phys. Rev. A 1991, 44, 2352-2369.
21. Makri, N. Chem. Phys. Lett. 1989, 159, 489-498.
22. Makri, N. J. Chem. Phys. 1992, 97, 2417-2424.
23. Sharafeddin, O. A.; Kouri, D. J.; Nayar, N.; Hoffman, D. J. Chem. Phys. 1991, 95, 3224-3231.
24. Winterstetter, M.; Domcke, W. Chem. Phys. Lett. 1995, 236, 445-450.
25. Makri, N. Chem. Phys. Lett. 1992, 193, 435-444.
26. Feynman, R. P.; F. L. Vernon, J. Ann. Phys. 1963, 24, 118-173.
27. Makri, N.; Makarov, D. E. J. Chem. Phys. 1995, 102, 4600-4610.
28. Makri, N. J. Math. Phys. 1995, 36, 2430-2456.
29. Topaler, M.; Makri, N. Chem. Phys. Lett. 1993, 210, 285-293.
30. Harris, D. O.; Engerholm, G. G.; Gwinn, W. D. J. Chem. Phys. 1965, 43, 1515-1517.
31. Dickinson, A. S.; Certain, P. R. J. Chem. Phys. 1968, 49, 4209-4211.
32. Light, J. C.; Hamilton, I. P.; Lill, J. V. J. Chem. Phys. 1985, 82, 1400-1409.
33. Lill, J. V.; Parker, G. A.; Light, J. C. Chem. Phys. Lett. 1982, 89, 483-489.
34. Bačić, Z.; Light, J. C. Annu. Rev. Phys. Chem. 1989, 40, 469-498.
35. Colbert, D. T.; Miller, W. H. J. Chem. Phys. 1992, 96, 1982-1991.
36. Topaler, M.; Makri, N. Chem. Phys. Lett. 1993, 210, 448.
37. Sim, E.; Makri, N. J. Chem. Phys. 1995, 102, 5616-5625.
38. Zwanzig, R. J. Stat. Phys. 1973, 9, 215-220.
39. Kubo, R.; Toda, M.; Hashitsume, N. Statistical Physics, 2nd ed.; Springer-Verlag: Heidelberg, 1991; Vol. 2.
40. Makri, N. J. Chem. Phys. (in press).
41. Makri, N.; Makarov, D. E. J. Chem. Phys. 1995, 102, 4611-4618.
42. Makarov, D. E.; Makri, N. Chem. Phys. Lett. 1994, 221, 482-491.
43. Makri, N. Path integral simulation of long-time dynamics in quantum dissipative systems. In Path Integrals: Basics and Applications; DeWitt-Morette, C., Ed.; Plenum: New York, 1997.
44. Sim, E.; Makri, N. Comput. Phys. Commun. 1997, 99, 335-354.
45. Sim, E.; Makri, N. Chem. Phys. Lett. 1996, 249, 224-230.
46. Activated Barrier Crossing; Fleming, G. R., Hänggi, P., Eds.; World Scientific: Singapore, 1993.
47. Keck, J. C. J. Chem. Phys. 1960, 32, 1035.
48. Kapral, R. J. Chem. Phys. 1972, 56, 1842.
49. Chandler, D. J. Chem. Phys. 1978, 68, 2959-2970.
50. Berne, B. J. In Multiple Time Scales; Brackbill, J. U., Cohen, B. I., Eds.; Academic Press: New York, 1985; p 419.
51. Yamamoto, T. J. Chem. Phys. 1960, 33, 281-289.
52. Miller, W. H.; Schwartz, S. D.; Tromp, J. W. J. Chem. Phys. 1983, 79, 4889-4898.
53. Kittel, C. Quantum theory of Solids, 2nd ed.; John Wiley & Sons: New York, 1987.
54. Leggett, A. J.; Chakravarty, S.; Dorsey, A. T.; Fisher, M. P. A.; Garg, A.; Zwerger, M. Rev. Mod. Phys. 1987, 59, 1-85.
55. Topaler, M.; Makri, N. J. Chem. Phys. 1994, 101, 7500-7519.
56. Onuchic, J. N.; Wolynes, P. G. J. Phys. Chem. 1988, 92, 6495-6503.
57. Voth, G. A. Adv. Chem. Phys. 1996, XCIII, 135.
58. Grabert, H.; Weiss, U.; Hanggi, P. Phys. Rev. Lett. 1984, 52, 2193.
59. Kramers, H. A. Physica (Utrecht) 1940, 7, 284-304.
60. Hänggi, P.; Pollak, E.; Grabert, H. The quantum Kramers problem. The University of Augsburg, 1989.
61. Rips, I.; Pollak, E. Phys. Rev. A 1990, 41, 5366-5382.
62. Marcus, R. A. J. Chem. Phys. 1956, 24, 966-978.
63. Marcus, R. A.; Sutin, N. Biochim. Biophys. Acta 1985, 811, 265-322.
64. Onuchic, J. N.; Wolynes, P. G. J. Chem. Phys. 1993, 98, 2218-2224.
65. Marcus, R. A. Angew. Chem., Int. Ed. Engl. 1993, 32, 1111-1121.
66. Deisenhofer, J.; Epp, O.; Miki, K.; Huber, R.; Michel, H. Nature (London) 1985, 318, 618-624.
67. Marcus, R. A. Chem. Phys. Lett. 1987, 133, 471-477.
68. Marcus, R. A. Chem. Phys. Lett. 1988, 146, 13-21.
69. Creighton, S.; Hwang, J. K.; Warshel, E.; Parson, W. W.; Norris, J. Biochemistry 1988, 27, 774-781.
70. Schmidt, S.; Arlt, T.; Hamm, P.; Huber, H.; Nagele, T.; Wachtveitl, J.; Meyer, M.; Scheer, H.; Zinth, W. Chem. Phys. Lett. 1994, 223, 116-120.
71. Huber, H.; Meyer, M.; Nagele, T.; Hartl, I.; Scheer, H.; Zinth, W.; Wachtveitl, J. Chem. Phys. 1995, 197, 297-305.
72. Makri, N.; Sim, E.; Makarov, D. E.; Topaler, M. Proc. Natl. Acad. Sci. U.S.A. 1996, 93, 3926-3931.
73. Sim, E.; Makri, N. J. Phys. Chem. 1997, 101, 5446-5458.
74. Holten, D.; Hoganson, C.; Windsor, M. W.; Schenck, C. C.; Parson, W. W.; Migus, A.; Fork, R. L.; Shank, C. V. Biochim. Biophys. Acta 1980, 592, 461-477.
75. Woodbury, N. W.; Becker, M.; Middendorf, D.; Parson, W. W. Biochemistry 1985, 24, 7516-7521.
76. Martin, J.-L.; Breton, J.; Hoff, A. J.; Migus, A.; Antonetti, A. Proc. Natl. Acad. Sci. U.S.A. 1986, 83, 957-961.
77. Breton, J.; Martin, J. L.; Petrich, J.; Migus, A.; Antonetti, A. FEBS Lett. 1986, 209, 37-43.
78. Breton, J.; Martin, J.-L.; Fleming, G. R.; Lambry, J.-C. Biochemistry 1988, 27, 9276-8284.
79. Fleming, G. R.; Martin, J. L.; Breton, J. Nature (London) 1988, 333, 190-192.
80. Chan, C-K.; DiMagno, T. J.; Chen, L. X.-Q.; Norris, J. R.; Fleming, G. R. Proc. Natl. Acad. Sci. U.S.A. 1991, 88, 11202-11206.
81. Marchi, M.; Gehlen, J. N.; Chandler, D.; Newton, M. J. Am. Chem. Soc. 1993, 115, 4178-4190.
82. Forsythe, K.; Makri, N. J. Chem. Phys. 1998, 108, 6819-6828.
83. Makarov, D. E.; Makri, N. Phys. Rev. B 1995, 52, R2257-2260.
84. Makri, N.; Wei, L. Phys. Rev. E 1997, 55, 2475-2478.
85. Makri, N. J. Chem. Phys. 1997, 106, 2286-2297.
86. Taft, G.; Makri, N. J. Phys. B 1998, 31, 209-226