Small disks and semiclassical resonances

Journal of Physics A: Mathematical and General

Volumn 29, Issue 17, 1996, Pages 5441-5453

  Rosenqvist, P ^a   Whelan, N D ^a,c   Wirzba, A ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c 91405 Orsay Campus   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444439518     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/17/018     Document Type: Article

References (42)

1. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
2. Wirzba A 1993 Nucl. Phys. A 560 136
3. Vattay G, Wirzba A and Rosenqvist P E 1995 Proc. Int. Conf. on Dynamical Systems and Chaos vol 2, ed Y Aizawa, S Saito and K Shiraiwa (Singapore: World Scientific) p 463
4. Vattay G, Wirzba A and Rosenqvist P E 1994 Phys. Rev. Lett. 73 2304
5. Rosenqvist P E, Vattay G and Wirzba A 1996 J. Stat. Phys. 83 243
6. Whelan N D 1995 Phys. Rev. E 51 3778
7. Pavloff N and Schmit C 1995 Phys. Rev. Lett. 75 61
8. Primack H, Schanz H, Smilansky U and Ussishkin I 1996 Phys. Rev. Lett. 76 1615
9. Whelan N D 1996 Phys. Rev. Lett. 76 2605
10. Bruus H and Whelan N D 1996 Nonlinearity 9 1
11. Berry M V 1981 Ann. Phys. 131 163
12. Friedman B, Oono Y and Kubo I 1984 Phys. Rev. Lett. 52 709
13. Dahlqvist P 1996 The Lyapunov exponent in the Sinai billiard in the small scatter limit Preprint chao-dyn/9601007
14. Abramowitz M and Stegun I (ed) 1965 Handbook of Mathematical Functions (New York: Dover)
15. Keller J B 1957 J. Appl. Phys. 28 426
16. Sommerfeld A 1896 Math. Ann. 47 317;
17. 1954 Optics (New York: Academic)
18. Seba P 1990 Phys. Rev. Lett. 64 1855
19. John W, Milek B, Schanz H and Seba P 1991 Phys. Rev. Lett. 67 1949
20. Cheon T and Shigehara T 1995 Scale anomaly and quantum chaos in the billiards with pointlike scatterers Preprint hep-th/9512162
21. Ruelle D 1978 Statistical Mechanics, Thermodynamic Formalism (Reading, MA: Addison-Wesley)
22. Cvitanović P 1988 Phys. Rev. Lett. 61 2729
23. Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 325
24. Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 361
25. Berry M V and Keating J P 1990 J. Phys. A: Math. Gen. 23 4389
26. Voros A 1988 J. Phys. A: Math. Gen. 21 685
27. Eckhardt B 1987 J. Phys. A: Math. Gen. 20 5971
28. Gaspard P and Rice S 1989 J. Chem. Phys. 90 2255
29. Gaspard P and Rice S 1989 J. Chem. Phys. 90 2242
30. Gaspard P and Rice S 1989 J. Chem. Phys. 90 2255
31. Cvitanović P and Eckhardt B 1989 Phys. Rev. Lett. 63 823
32. Cvitanović P and Eckhardt B 1993 Nonlinearity 6 277
33. Eckhardt B et al 1995 Pinball scattering Quantum Chaos Between Order and Disorder ed G Casati and B Chirikov (Cambridge: Cambridge University Press)
34. Gaspard P et al 1994 Phys. Rev. E 50 2591
35. Robbins J 1989 Phys. Rev. A 40 2128
36. see, for example, Grassberger P 1988 Z. Naturf. a 43 671
37. Henseler M and Wirzba A http://crunch.ikp.physik.th-darmstadt.de/∼wirzba/#non_papers.
38. Lauritzen B 1991 Phys. Rev. A 43 603
39. Henseler M 1995 Quantisierung eines chaotischen Systems: Die Streuung an N Kugeln und an N Kreisscheiben Diploma Thesis Institut für Kernphysik, TH Darmstadt
40. Bogomolny E 1992 Nonlinearity 5 805
41. Aharonov Y and Bohm D 1959 Phys. Rev. 115 485
42. Reimann S et al 1996 Phys. Rev. A 53 39