Quantization of hyperbolic N-sphere scattering systems in three dimensions

Annals of Physics

Volumn 258, Issue 2, 1997, Pages 286-319

  Henseler, Michael ^a,c   Wirzba, Andreas ^a   Guhr, Thomas ^b,d  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^d MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031206512     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.1997.5702     Document Type: Article

References (42)

1. Primack H., Smilansky U. Phys. Rev. Lett. 74:1995;4831-4834.
2. Gaspard P., Rice S. A. J. Chem. Phys. 90:1989;2255-2262.
3. A. Wirzba, M. Henseler, TH Darmstadt preprint IKDA 97/8.
4. Lloyd P., Smith P. V. Adv. Phys. 21:1972;69-142.
5. John W., Milek B., Schanz H., Šeba P. Phys. Rev. Lett. 67:1991;1949-1952.
6. Berry M. V., Keating J. P. Proc. Roy. Soc. A. 437:1992;151-173.
7. Gutzwiller M. C. Chaos in Classical and Quantum Mechanics. 1990;Springer-Verlag, New York.
8. Voros A. J. Phys. A. 21:1988;685-692.
9. Berry M. V. Ann. Phys. (N.Y.). 131:1981;163-216.
10. Korringa J. Physica. 13:1947;392-400.
11. Eckhardt B. J. Phys. A. 20:1987;5971-5979.
12. Gaspard P., Rice S. A. J. Chem. Phys. 90:1989;2225-2241.
13. Cvitanović P. The power of chaos. Applications of Chaos, Electrical Power Research Institute workshop 1990. 1992;Wiley, New York.
14. Gaspard P., Rice S. A. J. Chem. Phys. 90:1989;2242-2254.
15. Cvitanović P., Eckhardt B. Phys. Rev. Lett. 63:1989;823-826.
16. Cvitanović P., Rosenqvist P. E., Vattay G., Rugh H. H. CHAOS. 3:1993;619-636.
17. Eckhardt B., Russberg G., Cvitanović P., Rosenqvist P. E., Scherer P. Casati G., Chirikov B. Quantum Chaos between Order and Disorder. 1995;405-433 Cambridge University Press, Cambridge.
18. Wirzba A. Nucl. Phys. A. 560:1993;136-150.
19. Cvitanović P., Vattay G., Wirzba A. Friedrich H., Eckhardt B. Classical, Semiclassical and Quantum Dynamics in Atoms. Lecture Notes in Physics. 485:1997;29-62 Springer-Verlag, Heidelberg.
20. Gaspard P., Alonso D. Phys. Rev. A. 47:1993;R3468-3471.
21. Gaspard P. Casati G., Chirikov B. Quantum Chaos between Order and Disorder. 1995;385-404 Cambridge University Press.
22. G. Vattay, 1994.
23. Vattay G., Wirzba A., Rosenqvist P. E. Phys. Rev. Lett. 73:1994;2304-2307.
24. Vattay G., Wirzba A., Rosenqvist P. E. Aizawa Y., Saito S., Shiraiwa K. Proceedings of the International Conference on Dynamical Systems and Chaos, Tokyo, May 1994. 1995;463-466 World Scientific, Singapore.
25. Rosenqvist P. E., Vattay G., Wirzba A. J. Stat. Phys. 83:1996;243-257.
26. Rosenqvist P. E., Whelan N. D., Wirzba A. J. Phys. A. 29:1996;5441-5453.
27. A. Kudrolli, S. Sridhar, Oct. 1994, Proceedings of the International Conference on Quantum Chaos.
28. H. Schanz, U. Smilansky, 1995, Chaos, Solitons, Fractals, 5, 1289, 1309.
29. Primack H., Schanz H., Smilansky U., Ussishkin I. Phys. Rev. Lett. 76:1996;1615-1618.
30. Abramovitz M., Stegun I. A. Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. 1964.
31. Landolt-Börnstein. Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Band 3: Numerical Tables for Angular Correlation Computations inαβγΓ 1968;Springer-Verlag, Berlin.
32. Lloyd P. Proc. Phys. Soc. 90:1967;207-216.
33. Krein M. G. Mat. Sb. (N.S.). 33:1953;597-626.
34. Friedel J. Nuovo Cim. Suppl. 7:1958;287-301.
35. Reed M., Simon B. Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators, Chap. XIII.17. 1976;Academic Press, New York.
36. Lauritzen B. Phys. Rev. A. 43:1991;603-606.
37. P. Cvitanović, B. Eckhardt, 1993, Nonlinearity, 6, 277, 311.
38. Balian R., Bloch C. Ann. Phys. (N.Y.). 85:1974;514-545.
39. Georgeot B., Prange R. E. Phys. Rev. Lett. 74:1995;2851-2854.
40. Hammermesh M. Group Theory and Its Applications to Physical Problems. 1962;Addison-Wesley, Reading.
41. H. Primack, private communication.
42. Rose M. E. Elementary Theory of Angular Momentum. 1957;Wiley, New York.