Circular quantum billiard with a singular magnetic flux line

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 53, Issue 1, 1996, Pages 39-48

  Reimann, S M ^a,b,c   Brack, M ^a,b,c   Magner, A G ^a,b,c   Blaschke, J ^a,b,c   Murthy, M V N ^a,b,c  

^a UNIVERSITY OF REGENSBURG   (Germany)

^b INSTITUTE FOR NUCLEAR RESEARCH   (Ukraine)

^c INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001809159     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.53.39     Document Type: Article

References (48)

1. A. Einstein, Verh. Dtsch. Phys. Ges. 19, 82 (1917).
2. M. C. Gutzwiller, J. Math. Phys. 10, 1004 (1967).
3. M. C. Gutzwiller, J. Math. Phys. 11, 1791 (1970).
4. M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971).
5. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
6. M. C. Gutzwiller, in Chaos and Quantum Physics, Les Houches Session L11, edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier Science Publishers, B. V., New York, 1991).
7. J. H. van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928).
8. D. Wintgen, K. Richter and G. Tanner, Chaos 2, 19 (1992).
9. R. Balian and C. Bloch, Ann. Phys. (N.Y.) 69, 76 (1972).
10. M. Brack, Rev. Mod. Phys. 65, 677 (1993).
11. V. M. Strutinsky, Nukleonika 20, 679 (1975).
12. V. M. Strutinsky and A. G. Magner, Fiz. Elem. Chastis At. Yadra 7, 356 (1976) [Sov. J. Part. Nucl. 7, 138 (1976)].
13. S. C. Creagh and R. G. Littlejohn, Phys. Rev. A 44, 836 (1991).
14. J. Phys. A 25, 1643 (1992).
15. B. Tatievski, Diploma thesis, Freie Universität Berlin, 1993.
16. B. Tatievski, P. Stampfli and K. H. Bennemann, Comput. Mater. Sci. 2, 459 (1994).
17. S. Creagh, Ann. Phys. (N.Y.) (to be published).
18. Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
19. M. V. Berry and J. P. Keating, J. Phys. A 23, 4839 (1990).
20. M. Sieber, Chaos 2, 35 (1992).
21. M. Sieber and F. Steiner, Phys. Rev. Lett. 67, 1941 (1991).
22. C. Matthies and F. Steiner, Phys. Rev. A 44, R7877 (1991).
23. E. B. Bogomolny, Nonlinearity 5, 805 (1992).
24. T. Szeredi, J. Lefebvre and D. Goodings, Nonlinearity 7, 1463 (1994).
25. P. A. Boasman, Nonlinearity 7, 485 (1994).
26. J. B. Keller, Ann. Phys. (N.Y.) 4, 180 (1958).
27. J. B. Keller and S. I. Rubinow, Ann. Phys. (N.Y.) 9, 24 (1960).
28. M. Brack, S. C. Creagh, P. Meier, S. M. Reimann, and M. Seidl, in Contribution to NATO Advanced Study Institute ``Large Clusters of Atoms and Molecules'', Erice, 1995, edited by T. P. Martin (Kluwer, Dordrecht, in press).
29. M. V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 349, 101 (1976).
30. J. Phys. A 3, 371 (1977).
31. F. von Oppen, Ph.D. thesis, University of Washington, 1993.
32. H. P. Baltes and E. R. Hilf: Spectra of Finite Systems (Bibliographisches Institut, Zürich, 1976), p. 59.
33. M. V. Berry, Eur. J. Phys. 2, 91 (1981).
34. M. V. Fedoryuk, Asymptotics: Integrals and Sums (Nauka, Moscow, 1987) (in Russian).
35. M. V. Berry and M. Robnik, J. Phys. A 19, 649 (1986).
36. G. Date, S. R. Jain, and M. V. N. Murthy, Phys. Rev. E 51, 198 (1995).
37. A. Lerda, Anyons, Lecture Notes in Physics, Monographs Vol. m4 (Springer, Berlin, 1992).
38. E. N. Bogachek and G. A. Gogadze, Zh. Éksp. Teor. Fiz. 63, 1839 (1972) [Sov. Phys. JETP 36, 973 (1973)].
39. M. Brack, R. K. Bhaduri, J. Law, C. Meier, and M. V. N. Murthy, Chaos 5, 317 (1995).
40. O. Bohigas, D. Boosé, R. Egydio de Carvalho and V. Marvulle, Nucl. Phys. A560, 197 (1993).
41. A. Wirzba, Chaos 2, 77 (1992).
42. G. Vattay, A. Wirzba and P. E. Rosenqvist, Phys. Rev. Lett. 73, 17 (1994).
43. N. Whelan (unpublished).
44. B. Eckhardt, J. Phys. A 20, 5971 (1987).
45. P. Cvitanovic and B. Eckhardt, Phys. Rev. Lett. 63, 823 (1989).
46. N. Pavloff and C. Schmit (unpublished).
47. P. Gaspard and D. Alonso, Phys. Rev. A 47, R3468 (1993).
48. M. Brack and S. R. Jain, Phys. Rev. A 51, 3462 (1995).