Low-rank perturbations and the spectral statistics of pseudointegrable billiards

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

Volumn 68, Issue 6 2, 2003, Pages 652051-652054

  Gorin, Thomas ^a   Wiersig, Jan ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; EXTRAPOLATION; HAMILTONIANS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; POISSON DISTRIBUTION; PROBLEM SOLVING; QUANTUM THEORY; SPECTRUM ANALYSIS; STATISTICAL MECHANICS;

PERIODIC ORBIT SUMMATION; PSEUDOINTEGRABLE BILLIARDS; QUANTUM BILLIARDS; SCHRODINGER EQUATION; SHORT RANGE INTERACTIONS;

RANDOM PROCESSES;

EID: 1442354955     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. T. Gorin, J. Phys. A 34, 8281 (2001).
2. B. Davoudi, M. Polini, R. Asgari, and M.P. Tosi, Phys. Rev. B 66, 075110 (2002); L.G.G.V. Dias da Silva and M.A.M. de Aguiar, ibid. 66, 165309 (2002).
3. B. Davoudi, M. Polini, R. Asgari, and M.P. Tosi, Phys. Rev. B 66, 075110 (2002); L.G.G.V. Dias da Silva and M.A.M. de Aguiar, ibid. 66, 165309 (2002).
4. J.H. Hannay and R.J. McCraw, J. Phys. A 23, 887 (1990).
5. E. Gutkin, Physica D 19, 311 (1986); J. Stat. Phys. 83, 7 (1996).
6. E. Gutkin, Physica D 19, 311 (1986); J. Stat. Phys. 83, 7 (1996).
7. P.J. Richens and M.V. Berry, Physica D 2, 495 (1981).
8. G.M. Zaslavsky, Phys. Rep. 371, 461 (2002).
9. B. Grémaud and S.R. Jain, J. Phys. A 31, L637 (1998).
10. E.B. Bogomolny, U. Gerland, and C. Schmit, Phys. Rev. E 59, R1315 (1999).
11. G. Casati and T. Prosen (unpublished).
12. J. Wiersig, Phys. Rev. E 65, 046217 (2002).
13. E. Bogomolny, U. Gerland, and C. Schmit, Eur. Phys. J. B 19, 121 (2001).
14. M.V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 356, 375 (1977).
15. M. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1991).
16. B. Shklovskii et al., Phys. Rev. B 47, 11 487 (1993).
17. X. Waintal, D. Weinmann, and J. Pichard, Eur. Phys. J. B 7, 451 (1999).
18. K.-H. Ahn, Y.H. Kim, J. Wiersig, and K.J. Chang, Phys. Rev. Lett. 90, 026601 (2003).
19. E. Bogomolny, O. Giraud, and C. Schmit, Commun. Math. Phys. 222, 327 (2001).
20. M. Brack and R.K. Bhaduri, Semiclassical Physics (Addison Wesley, New York, 1997).
21. M.V. Berry, Proc. R. Soc. London, Ser. A 400, 229 (1985).
22. Gnuplot 3.7, patchlevel 1 (1999).