Universal fluctuations of zeros of chaotic wavefunctions

Journal of Physics A: Mathematical and General

Volumn 29, Issue 16, 1996, Pages 4827-4835

  Leboeuf P ^a   Shukla, P ^a,b,c  

^a Orsay Campus   (France)

^b CEA SACLAY   (France)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343861097     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/16/009     Document Type: Article

References (24)

1. Mehta M L 1991 Random Matrices (New York: Academic)
2. Bohigas O 1991 Proc. Les Houches Summer School, Chaos et Physique Quantique/Chaos and Quantum Physics (Les Houches, Session LII) ed M-J Giannoni, A Voros and J Zinn-Justin (Amsterdam: Elsevier)
3. Dyson F J 1962 J. Math. Phys. 3 140
4. McDonald S W and Kaufman A N 1988 Phys. Rev. A 37 3067
5. Aurich R and Steiner F 1993 Physica 64D 185
6. Li B and Robnik M 1994 J. Phys. A: Math. Gen. 27 5509
7. Haake F 1991 Quantum Signature of Chaos (Berlin: Springer)
8. Porter C E (ed) 1965 Statistical Theories of Spectra: Fluctuations (New York: Academic)
9. Lebœuf P and Voros A 1990 J. Phys. A: Math. Gen. 23 1765;
10. 1993 Quantum Chaos eds G Casati and B Chirikov (Cambridge: Cambridge University Press)
11. Tualle J-M and Voros A 1995 Chaos, Solitons and Fractals 5 1085
12. Bogomolny E, Bohigas O and Lebœuf P 1992 Phys. Rev. Lett. 68 2726
13. Hannay J 1996 J. Phys. A: Math. Gen. 29 L101
14. Klauder J R and Skagerstam B 1985 Coherent States (Singapore: World Scientific)
15. Perelomov A 1986 Generalized Coherent States and their Applications (New York: Springer)
16. Kac M 1959 Probability and Related Topics in Physical Sciences (New York: Interscience)
17. Bogomolny E, Bohigas O and Lebœuf P Quantum chaotic dynamics and random polynomials J. Stat. Phys. to appear
18. Many-body interactions (which are, however, system-dependent), were also found when writing the time-dependent Schrödinger equation in terms of zeros. See Lebœuf P 1991 J. Phys. A: Math. Gen. 24 4575
19. Ginibre J 1965 J. Math. Phys. 6 440
20. Jancovici B 1981 Phys. Rev. Lett. 46 386
21. Berry M V 1985 Proc. R. Soc. 400 229
22. Chirikov B 1991 Proc. Les Houches Summer School, Chaos et Physique Quantique/Chaos and Quantum Physics (Les Houches, Session LII) ed M-J Giannoni, A Voros and J Zinn-Justin (Amsterdam: Elsevier)
23. Prosen T Private communication
24. Edelman A and Kostlan E 1995 Bull. Amer. Math. Soc. 32 1