Quantum surface of section method: Eigenstates and unitary quantum Poincaré evolution

Physica D: Nonlinear Phenomena

Volumn 91, Issue 3, 1996, Pages 244-277

  Prosen, Tomaž ^a,b  

^a UNIVERSITY OF MARIBOR   (Slovenia)

^b INSTITUT HENRI POINCARÉ   (France)

Author keywords

Quantum Poincar mapping; Quantum surface of section

Indexed keywords

EID: 22244449668     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00262-6     Document Type: Article

References (33)

1. A. Bäcker, F. Steiner and P. Stifter, Spectral Statistics in the Quantized Cardioid Billiard, Preprint DESY 94-213 (1994).
2. V. Bargmann, Comm. Pure. Appl. Mat. 14 (1961) 187;
3. V. Bargmann, Comm. Pure. Appl. Mat. 20 (1967) 1.
4. M.V. Berry, Phil. Trans. Roy. Soc. London A 287 (1977) 237.
5. M.V. Berry and M. Robnik, J. Phys. A 17 (1984) 2413.
6. E.B. Bogomolny, Nonlinearity 5 (1992) 805;
7. Comments At. Mol. Phys. 25 (1990) 67.
8. O. Bohigas O, M.-J. Giannoni and C. Schmit, Phys. Rev. Lett. 52 (1984) 1.
9. O. Bohigas, S. Tomsovic and D. Ullmo, Phys. Rep. 223 (1993) 43.
10. T.A. Brody, Lett. Nuovo Cimento 7 (1973) 482.
11. G. Casati, L. Molinari and F.M. Izrailev, Phys. Rev. Lett. 64 (1990) 1851.
12. B.V. Chirikov, F.M. Izrailev and D.L. Shepelyansky, Sov. Sci. Rev. Sec. C 2 (1981) 209.
13. E. Doron and U. Smilansky, Nonlinearity 5 (1992) 1055.
14. Y.V. Fyodorov and A.D. Mirlin, Phys. Rev. Lett. 69 (1992) 1093.
15. B. Li and M. Robnik, J. Phys. A 27 (1994) 5509.
16. B. Li and M. Robnik, J. Phys. A 28 (1995), in press.
17. A.J. Lichtenberg and M.A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983).
18. P. Leboeuf and A. Voros, in: Quantum Chaos, eds. G. Casati and B.V. Chirikov (Cambridge University Press, Cambridge 1993).
19. R.G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982).
20. -1, preprint CAMTP/94-3 (1994).
21. T. Prosen, Ann. Phys. NY 235 (1994) 115.
22. T. Prosen, J. Phys. A 27 (1994) L569.
23. T. Prosen, J. Phys. A 27 (1994) L709.
24. T. Prosen, J. Phys. A 28 (1995) 4133.
25. T. Prosen, J. Phys. A 28 (1995) L349.
26. T. Prosen and M. Robnik, J. Phys. A 26 (1993) 2371.
27. T. Prosen and M. Robnik, J. Phys. A 27 (1994) L459.
28. T. Prosen and M. Robnik, J. Phys. A 27 (1994) 8059, and references therein.
29. M. Robnik, private communication (1993).
30. C. Rouvinez and U. Smilansky, J. Phys. A 28 (1995) 77.
31. H. Schanz and U. Smilansky, Chaos, Solitons & Fractals 5 (1995) 1289.
32. T.H. Seligman and J.J.M. Verbaarschot, J. Phys. A 18 (1985) 2227.
33. K. Takahashi, Prog. Theor. Phys. Suppl. 98 (1989) 109.