Quantum dynamical correlations: Effective potential analytic continuation approach

Journal of Chemical Physics

Volumn 119, Issue 9, 2003, Pages 4629-4640

  Horikoshi, Atsushi ^a   Kinugawa, Kenichi ^a  

^a NARA WOMEN'S UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; MOLECULAR DYNAMICS; MONTE CARLO METHODS; OSCILLATIONS; TEMPERATURE;

CENTROID MOLECULAR DYNAMICS; FINITE TEMPERATURE; QUANTUM DYNAMICAL CORRELATIONS;

QUANTUM THEORY;

EID: 0141453121     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1595638     Document Type: Article

References (106)

1. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965)
2. R. P. Feynman, Statistical Mechanics (Addison-Wesley, New York, 1972).
3. B. J. Berne and D. Thirumalai, Annu. Rev. Phys. Chem. 37, 401 (1986), and references cited therein.
4. D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995), and references cited therein.
5. G. Baym and D. Mermin, J. Math. Phys. 2, 232 (1961).
6. A. A. Abrikosov, L. P. Gor'kov, and Dzyaloshinskii, Sov. Phys. JETP 36(9), 636 (1959)
7. E. S. Fradkin, ibid. 36(9), 912 (1959).
8. D. Thirumalai and B. J. Berne, J. Chem. Phys. 79, 5029 (1983).
9. N. Silver, J. E. Gubernatis, D. S. Sivia, and M. Jarrell, Phys. Rev. Lett. 65, 496 (1990)
10. R. N. Silver, D. S. Sivia, and J. E. Gubernatis, Phys. Rev. B 41, 2380 (1990)
11. J. E. Gubernatis, M. Jarrell, R. N. Silver, and D. S. Sivia, ibid. 44, 6011 (1991).
12. E. Gallicchio and B. J. Berne, J. Chem. Phys. 101, 9909 (1994)
13. E. Gallicchio and B. J. Berne, J. Chem. Phys. 105, 7064 (1996)
14. E. Gallicchio, S. A. Egorov, and B. J. Berne, ibid. 109, 7745 (1998).
15. Y. Nakahara, M. Asakawa, and T. Hatsuda, Phys. Rev. D 60, 091503 (1999)
16. Y. Nakahara, M. Asakawa, and T. Hatsuda, Prog. Part. Nucl. Phys. 46, 459 (2001).
17. M. Topaler and N. Makri, J. Chem. Phys. 101, 7500 (1994).
18. C. H. Mak and R. Egger, J. Chem. Phys. 110, 12 (1999).
19. A. Sethia, S. Sanyal, and Y. Singh, J. Chem. Phys. 93, 7268 (1990)
20. A. Sethia, S. Sanyal, and Y. Singh, J. Chem. Phys. 96, 2428(E) (1992)
21. A. Sethia, S. Sanyal, and F. Hirata, Chem. Phys. Lett. 315, 299 (1999)
22. A. Sethia, S. Sanyal, and F. Hirata, J. Chem. Phys. 114, 5097 (2001).
23. R. P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986).
24. R. Giachetti and V. Tognetti, Phys. Rev. Lett. 55, 912 (1985)
25. R. Giachetti and V. Tognetti, Phys. Rev. B 33, 7647 (1986).
26. J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962)
27. G. Jona-Lasinio, Nuovo Cimento 34, 1719 (1964).
28. P. M. Stevenson, Phys. Rev. D 30, 1712 (1984)
29. P. M. Stevenson, Phys. Rev. D 32, 1389 (1985).
30. H. Verschelde, S. Schelstraete, J. Vandekerckhove, and J. L. Verschelde, J. Chem. Phys. 106, 1556 (1997)
31. S. Schelstraete and H. Verschelde, J. Phys. Chem. A 101, 3 (1997)
32. S. Schelstraete and H. Verschelde, J. Chem. Phys. 108, 7152 (1998).
33. A. Okopiǹska, Phys. Lett. A 249, 259 (1998).
34. H. Jirari, H. Kröger, X. Q. Luo, K. J. M. Moriarty, and S. G. Rubin, Phys. Rev. Lett. 86, 187 (2001)
35. H. Jirari, H. Kröger, X. Q. Luo, K. J. M. Moriarty, and S. G. Rubin, Phys. Lett. A 281, 1 (2001)
36. L. A. Caron, H. Jirari, H. Kröger, X. Q. Luo, G. Melkonyan, and K. J. M. Moriarty, ibid. 288, 145 (2001)
37. H. Jirari, H. Kröger, X. Q. Luo, G. Melkonyan, and K. J. M. Moriarty, ibid. 303, 299 (2002)
38. H. Kröger, Phys. Rev. A 65, 052118 (2002).
39. R. Fukuda and E. Kyriakopoulos, Nucl. Phys. B 85, 354 (1975)
40. R. Fukuda, Prog. Theor. Phys. 56, 258 (1976).
41. U. M. Heller and N. Seiberg, Phys. Rev. D 27, 2980 (1983).
42. L. O'Raifeartaigh, A. Wipf, and H. Yoneyama, Nucl. Phys. B 271, 653 (1986).
43. J. Kuti and Y. Shen, Phys. Rev. Lett. 60, 85 (1988).
44. A. Cuccoli, V. Tognetti, R. Vaia, and P. Verrucchi, Phys. Rev. A 45, 8418 (1992)
45. A. Cuccoli, V. Tognetti, P. Verrucchi, and R. Vaia, Phys. Rev. B 46, 11601 (1992)
46. A. Cuccoli, V. Tognetti, P. Verrucchi, and R. Vaia, Phys. Rev. Lett. 77, 3439 (1996)
47. A. Cuccoli, R. Giachetti, V. Tognetti, R. Vaia, and P. Verruchi, J. Phys.: Condens. Matter 7, 7891 (1995).
48. M. J. Gillan, J. Phys. C 20, 3621 (1987).
49. G. A. Voth, D. Chandler, and W. H. Miller, J. Chem. Phys. 91, 7749 (1989)
50. G. A. Voth, J. Phys. Chem. 97, 8365 (1993).
51. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, 1985).
52. J. Cao and G. A. Voth, J. Chem. Phys. 99, 10070 (1993)
53. J. Cao and G. A. Voth, J. Chem. Phys. 100, 5093 (1994)
54. J. Cao and G. A. Voth, J. Chem. Phys. 100, 5106 (1994)
55. J. Cao and G. A. Voth, J. Chem. Phys. 101, 6168 (1994)
56. J. Cao and G. A. Voth, J. Chem. Phys. 101, 6184 (1994)
57. G. A. Voth, Adv. Chem. Phys. XCIII, 135 (1996).
58. R. Kubo, N. Toda, and N. Hashitsume, Statistical Physics II (Springer, Berlin, 1985).
59. S. Jang and G. A. Voth, J. Chem. Phys. 111, 2357 (1999)
60. S. Jang and G. A. Voth, J. Chem. Phys. 111, 2371 (1999).
61. J. Cao and G. J. Martyna, J. Chem. Phys. 104, 2028 (1996)
62. J. Cao, L. W. Ungar, and G. A. Voth, ibid. 104, 4189 (1996)
63. J. Lobaugh and G. A. Voth, ibid. 104, 2056 (1996)
64. J. Lobaugh and G. A. Voth, J. Chem. Phys. 106, 2400 (1997)
65. M. Pavese and G. A. Voth, Chem. Phys. Lett. 249, 231 (1996)
66. A. Calhoun, M. Pavese, and G. A. Voth, ibid. 262, 415 (1996)
67. K. Kinugawa, P. B. Moore, and M. L. Klein, J. Chem. Phys. 106, 1154 (1997)
68. K. Kinugawa, P. B. Moore, and M. L. Klein, J. Chem. Phys. 109, 610 (1998)
69. K. Kinugawa, Chem. Phys. Lett. 292, 454 (1998)
70. S. Miura, S. Okazaki, and K. Kinugawa, J. Chem. Phys. 110, 4523 (1999)
71. U. W. Schmitt and G. A. Voth, ibid. 111, 9361 (1999)
72. S. Jang, Y. Pak, and G. A. Voth, J. Phys. Chem. A 103, 10289 (1999)
73. M. Pavese, S. Jang, and G. A. Voth, Parallel Comput. 26, 1025 (2000)
74. U. W. Schmitt and G. A. Voth, Chem. Phys. Lett. 329, 36 (2000)
75. G. K. Schenter, B. C. Garett, and G. A. Voth, J. Chem. Phys. 133, 5171 (2000).
76. G. Krilov and B. J. Berne, J. Chem. Phys. 111, 9140 (1999)
77. G. Krilov and B. J. Berne, J. Chem. Phys. 111, 9147 (1999).
78. R. J. Rivers, Path Integral Methods in Quantum Field Theory (Cambridge University Press, Cambridge, 1987).
79. M. S. Swanson, Path Integrals and Quantum Processes (Academic, Boston, 1992).
80. M. E. Peskin and D. V. Shroeder, An Introduction to Quantum Field Theory (Addison-Wesley, New York and Tokyo, 1995).
81. H. Kleinert, Path Integrals in Quantum Mechanics Statistics and Polymer Physics (World Scientific, Singapore, 1995).
82. K. G. Wilson and J. B. Kogut, Phys. Rep. 12, 75 (1974).
83. F. Wegner and A. Houghton, Phys. Rev. A 8, 401 (1973).
84. D. R. Reichman, P.-N. Roy, S. Jang, and G. A. Voth, J. Chem. Phys. 113, 919 (2000).
85. M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, 1996).
86. c(t).
87. T. L. Curtright and C. B. Thorn, J. Math. Phys. 25, 541 (1984).
88. F. Cametti, G. Jona-Lasinio, C. Presilla, and F. Toninelli, Proceedings of the International School of Physics "Enrico Fermi," Course CXLIII, edited by G. Casati, I. Guarneri, U. Smilansky (IOS Press, Amsterdam, 2000), p. 431.
89. R. Ramirez, T. Lopez-Ciudad, and J. C. Noya, Phys. Rev. Lett. 81, 3303 (1998)
90. R. Ramirez and T. Lopez-Ciudad, J. Chem. Phys. 111, 3339 (1999).
91. G. Andronico, V. Branchina, and D. Zappala, Phys. Rev. Lett. 88, 178901 (2002)
92. R. Ramirez, T. Lopez-Ciudad, and J. C. Noya, ibid. 88, 178902 (2002).
93. R. Jackiw and A. Kerman, Phys. Lett. A 71, 158 (1979).
94. M. E. Tuckerman, D. Marx, M. L. KLein, and M. Parrinello, J. Chem. Phys. 104, 5579 (1996).
95. G. J. Martyna, M. L. Klein, and M. Tuckerman, J. Chem. Phys. 97, 2635 (1992).
96. K.-I. Aoki, A. Horikoshi, M. Taniguchi, and H. Terao, Prog. Theor. Phys. 108, 571 (2002)
97. A. S. Kapoyannis and N. Tetradis, Phys. Lett. A 276, 225 (2000).
98. D. Zappala, Phys. Lett. A 290, 35 (2001).
99. 2 according to Eq. (56).
100. Since we consider an approximation beyond the leading order, it could alternatively be called as the effective action analytic continuation (EAAC).
101. U. Balucani, M. H. Lee, and V. Tognetti, Phys. Rep. 373, 409 (2003), and references cited therein.
102. A. Cuccoli, R. Giachetti, V. Tognetti, and R. Vaia, J. Phys. A 31, L419 (1998).
103. Proton Transfer in Hydrogen-Bonded Systems, edited by D. Bountis (Plenum, New York, 1992)
104. Electron and Proton Transfer in Chemistry and Biology, edited by A. Müller, H. Ratajczak, W. Junge, and E. Diemann (Elsevier, Amsterdam, 1992).
105. K. Fukui, J. Phys. Chem. 74, 4161 (1970)
106. K. Fukui, S. Kato, and H. Fujimoto, J. Am. Chem. Soc. 97, 1 (1975).