Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges

Nuclear Physics B

Volumn 553, Issue 3, 1999, Pages 601-643

  Forrester, P J ^a   Nagao, T ^b   Honner, G ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

Fokker planck equation; Quantum chaos; Random matrices

Indexed keywords

EID: 0033516823     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00272-2     Document Type: Article

References (29)

1. M.R. Zirnbauer, J. Math. Phys. 37 (1997) 4986.
2. F.J. Dyson, J. Math. Phys. 3 (1962) 1191.
3. P.J. Forrester, In Quantum Many Problems and Representation Theory, MSJ Memoirs, Vol. 1 (Math. Soc. Japan, 1998).
4. T. Nagao and P.J. Forrester. Nucl. Phys. B 530 (1998) 742.
5. T. Nagao and M. Wadati, J. Phys. Soc. Jpn. 60 (1991) 3298; 61 (1992) 78; 61 (1992) 1910.
6. T. Nagao and M. Wadati, J. Phys. Soc. Jpn. 60 (1991) 3298; 61 (1992) 78; 61 (1992) 1910.
7. T. Nagao and M. Wadati, J. Phys. Soc. Jpn. 60 (1991) 3298; 61 (1992) 78; 61 (1992) 1910.
8. T. Nagao and P.J. Forrester, Nucl. Phys. B 435 (1995) 401.
9. T. Nagao and P.J. Forrester, Quaternion Determinant Expressions for Multilevel Dynamical Correlation Functions of Parametric Random Matrices, in preparation.
10. H. Widom, solv-int/9804005
11. F.J. Dyson, Commun. Math. Phys. 19 (1970) 235.
12. K. Frahm and J.L. Pichard, J. Phys. I France 5 (1995) 877.
13. A. Erdélyi et al. (ed.), Higher Transcendental Functions, Vols. I and II (McGraw-Hill, New York, 1953).
14. G. Mahoux and M.L. Mehta, J. Phys. I (France) 1 (1991) 1093.
15. G. Szegö, Orthogonal Polynomials, 4th Edition (American Mathematical Society, 1975).
16. A.M.S. Macêdo, Europhys. Lett. 26 (1994) 641.
17. A.M.S. Macêdo, Phys. Rev. B 53 (1996) 8411.
18. P.J. Forrester, Nucl. Phys. B 403 (1993) 709.
19. T.H. Baker, P.J. Forrester and P.A. Pearce, J. Phys. A 31 (1998) 6087.
20. G.N. Watson, Theory of Bessel Functions, 2nd Edition (Cambridge Univ. Press, Cambridge, 1966).
21. T. Nagao and P.J. Forrester, Phys. Lett. A 247 (1998) 42.
22. P.J. Forrester, Physica A 223 (1996) 365.
23. P.J. Forrester and T. Nagao, J. Stat. Phys. 89 (1997) 69.
24. B. Jancovici and P.J. Forrester, Phys. Rev. B 50 (1994) 14599.
25. C.A. Tracy and H. Widom, solv-int/9804004.
26. J. Verbaarschot Nucl. Phys. B 426 (1994) 559.
27. P.J. Forrester, J. Math. Phys. 35 (1993) 2539.
28. T. Nagao and P.J. Forrester, Nucl. Phys. B 509 (1998) 561.
29. C.A. Tracy and H. Widom, Commun. Math. Phys. 177 (1996) 727.