Roles of phase cancellation removing spuriously quantized states in semiclassical mechanics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 1, 1999, Pages 112-120

  Inoue Ushiyama, Atsuko ^a   Takatsuka, Kazuo ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243227514     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.112     Document Type: Article

References (34)

1. M. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972).
2. L. S. Schulman, Technique and Applications of Path Integration (Wiley, New York, 1981).
3. V. P. Maslov and M. V. Feodoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
4. M. S. Child, Semiclassical Mechanics with Molecular Approximations (Clarendon, Oxford, 1991).
5. P. Gaspard, D. Alonso, and I. Burghardt, Adv. Chem. Phys. XC, 105 (1995).
6. L. G. Yaffe, Rev. Mod. Phys. 54, 407 (1982).
7. C. Seko and K. Takatsuka, J. Chem. Phys. 104, 8613 (1996)
8. J. Chem. Phys.K. Takatsuka and C. Seko, 105, 10 356 (1996)
9. J. Chem. Phys.C. Seko and K. Takatsuka, 108, 4924 (1998)
10. J. Chem. Phys.C. SekoK. Takatsuka109, 4768 (1998)
11. K. Takatsuka and C. Seko, J. Chem. Phys. 110, 3263 (1999).
12. M. C. Gutzwiller, J. Math. Phys. 11, 1791 (1970)
13. J. Math. Phys.M. C. Gutzwiller12, 343 (1971).
14. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990).
15. A. M. Ozorio de Almeida, Hamiltonian Systems: Chaos and Quantization (Cambridge University Press, Cambridge, England, 1988)
16. M. Tabor, Chaos and Integrability in Nonlinear Dynamics (Wiley, New York, 1989)
17. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990)
18. L. E. Reidel, The Transition to Chaos (Springer, Berlin, 1992)
19. K. Nakamura, Quantum Chaos (Cambridge University Press, Cambridge, England, 1993).
20. K. Takatsuka, Phys. Rev. A 45, 4326 (1992)
21. K. TakatsukaProg. Theor. Phys. 91, 421 (1994).
22. K. Takatsuka and N. Hashimoto, J. Chem. Phys. 103, 6057 (1995).
23. K. Takatsuka and A. Inoue, Phys. Rev. Lett. 78, 1404 (1997).
24. A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. A 59, 3256 (1999).
25. H. Goldstein, Classical Mechanics (Addison-Wesley, New York, 1980).
26. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, Berlin, 1979).
27. (a) E. J. Heller, J. Chem. Phys. 94, 2723 (1990)
28. J. Chem. Phys.(b) M. A. Sepulveda and E. J. Heller, 101, 8004 (1994)
29. (c) G. Campolieti and P. Brumer, Phys. Rev. A 50, 997 (1994)
30. D. Provost and P. Brumer, Phys. Rev. Lett. 74, 250 (1995)
31. (d) K. G. Kay, J. Chem. Phys. 100, 4377 (1994)
32. J. Chem. Phys.K. G. Kay100, 4432 (1994).
33. See, for example, M. V. Berry and M. Tabor, J. Phys. A 10, 371 (1977).
34. A. Erdelyi, Asymptotic Expansions (Dover, New York, 1956).