Chaotic dynamics in a three-dimensional superconducting microwave billiard

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

Volumn 54, Issue 3, 1996, Pages 2303-2312

  Alt, H ^a,b   Graf H D ^a,b   Hofferbert, R ^a,b   Rangacharyulu, C ^a,b   Rehfeld, H ^a,b   Richter, A ^a,b   Schardt, P ^a,b   Wirzba, A ^a,b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; CHAOS THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE POLARIZATION; FOURIER TRANSFORMS; QUANTUM THEORY; SPECTRUM ANALYSIS; STATISTICAL METHODS;

BOUNCING BALL ORBIT; EIGENMODE DENSITY; GAUSSIAN ORTHOGONAL ENSEMBLE; LIOUVILLE EQUATIONS; PERIODIC ORBIT THEORY; SUPERCONDUCTING MICROWAVE BILLIARD;

MICROWAVE DEVICES;

EID: 0030245373     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.2303     Document Type: Article

References (42)

1. G D. Birkhoff, Acta Math.50, 359 (1927).
2. L A. Bunimovich, Zh. Éksp. Teor. Fiz.89, 1452 (1985) [Sov. Phys. JETP62, 842 (1985)].
3. Ya. G. Sinai, Sov. Math. Dokl.4, 1818 (1963).
4. S W. McDonald and A N. Kaufman, Phys. Rev. Lett.42, 1189 (1979).
5. O. Bohigas, in Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam, 1991), p. 89.
6. F. Steiner, in Schlaglichter der Forschung, Zum 75. Jahrestag der Universität Hamburg 1994, edited by R. Ansorge (Reimer, Berlin, 1994), p. 543.
7. M C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
8. M V. Berry, Proc. R. Soc. London Ser. A413, 183 (1987).
9. H.-J. Stöckmann and J. Stein, Phys. Rev. Lett.64, 2215 (1990).
10. J. Stein and H.-J. Stöckmann, Phys. Rev. Lett.68, 2867 (1992).
11. S. Sridhar, Phys. Rev. Lett.67, 785 (1991).
12. H.-D. Gräf, H L. Harney, H. Lengeler, C H. Lewenkopf, C. Rangacharyulu, A. Richter, P. Schardt and H.A. Weidenmüller, Phys. Rev. Lett.69, 1296 (1992).
13. H. Alt, P. von Brentano, H.-D. Gräf, R.-D. Herzberg, M. Philipp, A. Richter and P. Schardt, Nucl. Phys. A560, 293 (1993).
14. H. Alt, H.-D. Gräf, H L. Harney, R. Hofferbert, H. Lengeler, C. Rangacharyulu, A. Richter and P. Schardt, Phys. Rev. E50, 1 (1994).
15. H. Alt, H.-D. Gräf, H L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt and H.A. Weidenmüller, Phys. Rev. Lett.74, 62 (1995).
16. F J. Dyson and M L. Mehta, J. Math. Phys.4, 701 (1963).
17. M L. Mehta, Random Matrices and the Statistical Theories of Energy Levels (Academic, New York, 1967).
18. O. Bohigas, M J. Giannoni and C. Schmit, Phys. Rev. Lett.52, 1 (1984).
19. M V. Berry and M. Tabor, Proc. R. Soc. London Ser. A356, 375 (1977).
20. J D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
21. M.R. Schröder, Acustica4, 456 (1954);
22. [reprinted in J. Audio Eng. Soc. 35, 307 (1987)].
23. R L. Weaver, J. Acoust. Soc. Am.85, 1005 (1989).
24. C. Ellegaard, T. Guhr, K. Lindemann, H Q. Lorensen, J. Nygård and M. Oxborrow, Phys. Rev. Lett.75, 1546 (1995).
25. S. Deus, P M. Koch and L. Sirko, Phys. Rev. E52, 1146 (1995).
26. R. Balian and C. Bloch, Ann. Phys. (N.Y.)64, 271 (1971).
27. H. Primack and U. Smilansky, Phys. Rev. Lett.74, 4831 (1995).
28. O. Frank and B. Eckhardt, Phys. Rev. E53, 4166 (1996).
29. J. Auerhammer, H. Genz, H.-D. Gräf, R. Hahn, P. Hoffmann-Stascheck, C. Lüttge, U. Nething, K. Rühl, A. Richter, T. Rietdorf, P. Schardt, E. Spamer, F. Thomas, O. Titze, J. Töpper and H. Weise, Nucl. Phys. A553, 841c (1993).
30. H. Weyl, J. Reine Angew. Math. Band141, 1 (1912);
31. H. Weyl, J. Reine Angew. Math. Band141, 163 (1912).
32. H. Weyl, J. Reine Angew. Math. Band143, 177 (1913).
33. H P. Baltes and E R. Hilf, Spectra of Finite Systems (Bibliographisches Institut, Mannheim, 1975).
34. R. Balian and B. Duplantier, Ann. Phys. (N.Y.)104, 300 (1977).
35. M V. Berry and M. Robnik, J. Phys. A17, 2413 (1984).
36. M V. Berry, Proc. R. Soc. London Ser. A400, 229 (1985).
37. A. Delon, R. Jost and M. Lombardi, J. Chem. Phys.95, 5701 (1991).
38. M. Lombardi, O. Bohigas and T H. Seligman, Phys. Lett. B324, 263 (1994).
39. G. Zaslavsky and H R. Strauss, in Irregular Atomic Systems and Quantum Chaos, edited by J.C. Gay (Gordon and Breach, Philadelphia, 1992), p. 51.
40. M V. Berry, Eur. J. Phys.2, 91 (1981).
41. M. Robnik, J. Phys. Soc. Jpn. Suppl. A63, 131 (1994).
42. M. Sieber, U. Smilansky, S C. Creagh and R G. Littlejohn, J. Phys. A26, 6217 (1993).