Semiclassical quantization of strongly chaotic vibrations in an [formula presented]-like cluster

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 64, Issue 5, 2001, Pages 15-

  Inoue Ushiyama, Atsuko ^a   Takatsuka, Kazuo ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035294831     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.056223     Document Type: Article

References (73)

1. For extensive reviews, see R. S. Berry, Chem. Rev. 93, 2379 (1993);
2. R. S. Berry, Int. J. Quantum Chem. 58, 657 (1996);
3. K. D. Ball, R. S. Berry, R. E. Kunz, F.-Y. Li, A. Proykova, and D. J. Wales, Science 271, 963 (1996).
4. ScienceSee, also, D. J. Wales, 271, 925 (1996).
5. C. Seko and K. Takatsuka, J. Chem. Phys. 104, 8613 (1996).
6. K. Takatsuka and C. Seko, J. Chem. Phys. 105, 10 356 (1996).
7. C. Seko and K. Takatsuka, J. Chem. Phys. 108, 4924 (1998).
8. C. Seko and K. Takatsuka, J. Chem. Phys. 109, 4768 (1998).
9. K. Takatsuka and C. Seko, J. Chem. Phys. 110, 3263 (1999).
10. T. Yanao and K. Takatsuka, Chem. Phys. Lett. 313, 633 (1999).
11. K. Takatsuka and T. Yanao, J. Chem. Phys. 113, 2552 (2000).
12. D. M. Leitner, R. S. Berry, and R. M. Whitnell, J. Chem. Phys. 91, 3470 (1989).
13. C. Chakravarty, R. J. Hinde, D. M. Leitner, and D. J. Wales, Phys. Rev. E 56, 363 (1997).
14. S. W. Rick, D. L. Leitner, J. Doll, D. L. Freeman, and D. D. Frantz, J. Chem. Phys. 95, 6658 (1991).
15. J. P. Neirotti, F. Calvo, D. L. Freeman, and J. D. Doll, J. Chem. Phys. 112, 10 340 (2000), and references therein.
16. R. O. Weht, J. Kohanoff, and C. Chakravarty, J. Chem. Phys. 108, 8848 (1998).
17. M. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972).
18. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974);
19. Adv. Chem. Phys.W. H. Miller30, 77 (1975).
20. L. S. Schulman, Technique and Applications of Path Integration (Wiley, New York, 1981).
21. V. P. Maslov and M. V. Feodoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
22. M. S. Child, Semiclassical Mechanics with Molecular Approximations (Clarendon, Oxford, 1991).
23. P. Gaspard, D. Alonso, and I. Burghardt, Adv. Chem. Phys. 90, 105 (1995).
24. M. L. Brewer, J. S. Hulme, and D. E. Manolopoulos, J. Chem. Phys. 106, 4832 (1997).
25. K. Takatsuka and A. Inoue, Phys. Rev. Lett. 78, 1404 (1997);
26. A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. A 59, 3256 (1999);
27. Phys. Rev. AA. Inoue-UshiyamaK. Takatsuka60, 112 (1999).
28. R. J. Hinde, R. S. Berry, and D. J. Wales, J. Chem. Phys. 96, 1376 (1992).
29. R. J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993).
30. W. H. Miller, J. Chem. Phys. 53, 3578 (1970).
31. X. Sun and W. H. Miller, J. Chem. Phys. 110, 6635 (1999).
32. E. J. Heller, J. Chem. Phys. 62, 1544 (1975);
33. J. Chem. Phys.E. J. Heller65, 4979 (1976).
34. E. J. Heller, J. Chem. Phys. 94, 2723 (1991), and references therein.
35. M. A. Sepulveda and E. J. Heller, J. Chem. Phys. 101, 8004 (1994);
36. M. A. Sepúlveda and F. Grossmann, Adv. Chem. Phys. 96, 191 (1996) and references therein.
37. G. Campolieti and P. Brumer, Phys. Rev. A 50, 997 (1994);
38. D. Provost and P. Brumer, Phys. Rev. Lett. 74, 250 (1995).
39. K. G. Kay, J. Chem. Phys. 100, 4377 (1994);
40. J. Chem. Phys.K. G. Kay100, 4432 (1994);
41. J. Chem. Phys.K. G. Kay101, 2250 (1994).
42. K. Takatsuka, the companion paper, Phys. Rev. E 64, 016224 (2001)
43. P. A. Braier and R. S. Berry, J. Chem. Phys. 93, 8745 (1990).
44. M. R. Hoare and P. Pal, J. Cryst. Growth 17, 77 (1972);
45. J. Farges, M. F. Faraudy, B. Raoult, and G. Torchet, J. Chem. Phys. 78, 5067 (1983).
46. F. H. Stillinger and T. A. Weber, Phys. Rev. A 25, 978 (1982).
47. F. G. Amer and R. S. Berry, J. Chem. Phys. 85, 5943 (1986).
48. G. Natason, F. G. Amar, and R. S. Berry, J. Chem. Phys. 78, 399 (1983);
49. R. S. Berry, J. Jellinek, and G. Natanson, Phys. Rev. A 30, 919 (1984);
50. R. S. BerryJ. JellinekG. NatansonChem. Phys. Lett. 107, 227 (1984);
51. J. Jellinek, T. L. Beck, and R. S. Berry, J. Chem. Phys. 84, 2783 (1985).
52. S. Sawada and S. Sugano, Z. Phys. D: At., Mol. Clusters 12, 189 (1989).
53. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer, Berlin, 1992).
54. K. Takatsuka, Phys. Rev. A 45, 4326 (1992).
55. K. Takatsuka, Phys. Rev. Lett. 61, 503 (1988);
56. K. Takatsuka, Phys. Rev. A 39, 5961 (1989).
57. H. Ushiyama, Y. Arasaki, and K. Takatsuka, Chem. Phys. Lett. 346, 169 (2001).
58. H. Goldstein, Classical Mechanics (Addison-Wesley, New York, 1980).
59. K. Takatsuka and H. Ushiyama, Phys. Rev. A 51, 4353 (1995);
60. H. Ushiyama and K. Takatsuka, J. Chem. Phys. 106, 7023 (1997);
61. J. Chem. Phys.H. UshiyamaK. Takatsuka109, 9664 (1998).
62. K. Takatsuka, H. Ushiyama, and A. Inoue-Ushiyama, Phys. Rep. 322, 347 (1999).
63. M. J. Davis and E. J. Heller, J. Chem. Phys. 75, 246 (1981).
64. K. G. Kay, J. Chem. Phys. 101, 2250 (1994).
65. J. Shao and N. Makri, J. Phys. Chem. A 103, 7753 (1999);
66. J. Phys. Chem. AJ. ShaoN. Makri103, 9479 (1999).
67. K. Hotta and K. Takatsuka (unpublished).
68. M. C. Gutzwiller, J. Math. Phys. 11, 1791 (1970);
69. J. Math. Phys.M. C. Gutzwiller12, 343 (1971);Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
70. R. B. Balian and C. Bloch, Ann. Phys. (N.Y.) 60, 401 (1970);
71. Ann. Phys. (N.Y.)R. B. BalianC. Bloch85, 1514 (1974).
72. K. Takatsuka, Phys. Rev. A 45, 4326 (1992);
73. K. TakatsukaProg. Theor. Phys. 91, 421 (1994).