Semiclassical approximations to diffractive effects in the annulus billiard

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

Volumn 55, Issue 5, 1997, Pages 5212-5224

  Snaith, N C ^a   Goodings, D A ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000379528     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.5212     Document Type: Article

References (41)

1. M C. Gutzwiller, J. Math. Phys.12, 343 (1971).
2. M C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
3. M V. Berry, in Quantum Chaos and Statistical Nuclear Physics, edited by T. H. Seligman and H. Nishioka, Lecture Notes in Physics Vol. 263 (Springer, Berlin, 1986), p. 1.
4. A. Voros, J. Phys. A21, 685 (1988).
5. R. Artuso, E. Aurell and P. Cvitanovic-acute, Nonlinearity3, 325 (1990);
6. R. Artuso, E. Aurell and P. Cvitanovic-acute, Nonlinearity3, 361 (1990).
7. M. Sieber and F. Steiner, Phys. Rev. Lett.67, 1941 (1991).
8. M V. Berry and J P. Keating, Proc. R. Soc. London Ser. A437, 151 (1992).
9. T. Szeredi and D A. Goodings, Phys. Rev. E48, 3529 (1993).
10. P. Gaspard and D. Alonso, Phys. Rev. A47, R3468 (1993).
11. D. Alonso and P. Gaspard, CHAOS3, 601 (1993).
12. G. Vattay and P E. Rosenqvist, Phys. Rev. Lett.76, 335 (1996).
13. B R. Levy and J B. Keller, Commun. Pure Appl. Math.XII, 159 (1959).
14. J B. Keller, J. Opt. Soc. Am.52, 116 (1962).
15. A. Wirzba, CHAOS2, 77 (1992).
16. A. Wirzba, Nucl. Phys.A560, 136 (1993).
17. G. Vattay, A. Wirzba and P E. Rosenqvist, Phys. Rev. Lett.73, 2304 (1994).
18. P E. Rosenqvist, G. Vattay and A. Wirzba, J. Stat. Phys.83, 243 (1996).
19. N. Pavloff and C. Schmit, Phys. Rev. Lett.75, 61 (1995).
20. N D. Whelan, Phys. Rev. E51, 3778 (1995).
21. N D. Whelan, Phys. Rev. Lett.76, 2605 (1996).
22. H. Bruus and N D. Whelan, Nonlinearity9, 1023 (1996).
23. P. Seba, Phys. Rev. Lett.64, 1855 (1990).
24. P. Rosenqvist, N D. Whelan and A. Wirzba, J. Phys. A29, 5441 (1996).
25. G. Date, S R. Jain and M. V. N. Murthy, Phys. Rev. E51, 198 (1995).
26. M. Brack, R K. Bhaduri, J. Law, C. Meier and M. V. N. Murthy, CHAOS5, 317 (1995).
27. S M. Reimann, M. Brack, A G. Magner, J. Blaschke and M. V. N. Murthy, Phys. Rev. A53, 39 (1996).
28. H. Primack, H. Schanz, U. Smilansky and I. Ussishkin, Phys. Rev. Lett.76, 1615 (1996), and unpublished.
29. E B. Bogomolny, Nonlinearity5, 805 (1992).
30. E B. Bogomolny, CHAOS2, 5 (1992).
31. T. Szeredi, J H. Lefebvre and D A. Goodings, Nonlinearity7, 1463 (1994).
32. M R. Haggerty, Phys. Rev. E52, 389 (1995).
33. M V. Berry and M. Wilkinson, Proc. R. Soc. London Ser. A392, 15 (1984).
34. P. A. Boasman, Ph.D. thesis, University of Bristol, 1992 (unpublished).
35. P A. Boasman, Nonlinearity7, 485 (1994).
36. M V. Berry and M E. Mount, Rep. Prog. Phys.35, 315 (1972).
37. J. H. Lefebvre, Ph.D. thesis, McMaster University, 1995.
38. C. Rouvinez and U. Smilansky, J. Phys. A28, 77 (1995).
39. H M. Nussenzveig, Ann. Phys.34, 23 (1965).
40. N C. Snaith (unpublished). Copies of this work are available on request.
41. M. Kac, Am. Math. Mon.73, 1 (1966).