Regularity and chaos in interacting two-body systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 3 2, 2004, Pages

  Radionov, Sergey ^a,b   Åberg, Sven ^a   Guhr, Thomas ^a  

^a LUND UNIVERSITY   (Sweden)

^b INSTITUTE FOR NUCLEAR RESEARCH   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CONFORMAL MAPPING; CONTINUUM MECHANICS; DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; INTEGRAL EQUATIONS; OSCILLATORS (MECHANICAL); POISSON DISTRIBUTION; POLYNOMIALS; PROBABILITY; QUANTUM THEORY; SEMICONDUCTOR QUANTUM DOTS;

EXCITATION ENERGY; HARMONIC OSCILLATORS; QUANTUM CHAOS; TWO-BODY SYSTEMS;

CHAOS THEORY;

EID: 37649030384     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.036207     Document Type: Article

References (30)

1. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
2. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, England, 1999).
3. F. Haake, Quantum Signatures of Chaos, 2nd ed. (Springer, Berlin, 2001).
4. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
5. H. Friedrich and D. Wintgen, Phys. Rep. 183, 37 (1989).
6. O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
7. M. Berry, Eur. J. Phys. 2, 91 (1981).
8. O. Bohigas, R. U. Haq, and A. Pandey, in Nuclear Data for Science and Technology, edited by K. H. Böchhoff (Reidel, Dordrecht, 1983), p. 809.
9. N. Rosenzweig and C. E. Porter, Phys. Rev. 120, 1698 (1960).
10. K. Patel, M. S. Desai, V. Potbhare, and V. K. B. Kota, Phys. Lett. A 275, 329 (2000).
11. L. Kaplan and T. Papenbrock, Phys. Rev. Lett. 84, 4553 (2000).
12. F. Borgonovi, I. Guarneri, F. M. Izrailev, and G. Casati, Phys. Lett. A 247, 140 (1998).
13. M. Van Vessen, M. C. Santos, B. K. Cheng, and M. G. E. da Luz, Phys. Rev. E 64, 026201 (2001).
14. L. Meza-Montes and S. E. Ulloa, Phys. Rev. E 55, R6319 (1997).
15. J. Sakhr and N. D. Whelan, Phys. Rev. A 62, 042109 (2000).
16. D. Wintgen, K. Richter, and G. Tanner, Chaos 2, 823 (1992).
17. D. Wintgen, A. Burgers, K. Richter, and G. Tanner, Prog. Theor. Phys. Suppl. 116, 121 (1994).
18. P. S. Drouvelis, P. Schmelcher, and F. K. Diakonos, Europhys. Lett. 64, 232 (2003).
19. P. S. Drouvelis, P. Schmelcher, and F. K. Diakonos, Phys. Rev. B 69, 035333 (2004).
20. P. S. Drouvelis, P. Schmelcher, and F. K. Diakonos, J. Phys.: Condens. Matter 16, 3633 (2004).
21. R. G. Nazmitdinov, N. S. Simonovic, and J. M. Rost, Phys. Rev. B 65, 155307 (2002).
22. G. Baumann and T. F. Nonnenmacher, Phys. Rev. A 46, 2682 (1992).
23. P. A. Maksym, Physica B 249, 233 (1998).
24. F. M. Peeters, Phys. Rev. B 42, 1486 (1990).
25. M. Sieber and K. Richter, Phys. Scr., T 90, 128 (2001); M. Sieber, J. Phys. A 35, L613 (2002).
26. M. Sieber and K. Richter, Phys. Scr., T 90, 128 (2001); M. Sieber, J. Phys. A 35, L613 (2002).
27. S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland, e-print nlin.CD/0401021.
28. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 223, 43 (1993).
29. T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981).
30. O. Bohigas, Mathematical and Computational Methods in Nuclear Physics (Springer, Berlin, 1984), p. 1.