Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions

Journal of Mathematical Physics

Volumn 44, Issue 9, 2003, Pages 4157-4175

  Forrester, P J ^a   Frankel, N E ^a   Garoni, T M ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242641515     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1599954     Document Type: Article

References (32)

1. P. J. Forrester, Log gases and random matrices, URL http://www.ms.unimelb.edu.au/̃matpjf/matpjf.html
2. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Commun. Math. Phys. 238, 257 (2003).
3. N. M. Katz and P. Sarnak, Random Matrices, Frobenius Eigenvalues, and Monodromy (AMS, Providence, 1999).
4. J. P. Keating and N. C. Snaith, Commun. Math. Phys. 214, 91 (2000).
5. J. P. Keating and N. C. Snaith, J. Phys. A 36, 2859 (2003).
6. P. J. Forrester, Phys. Lett. A 163, 121 (1992).
7. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Phys. Rev. A 67, 043607 (2003).
8. J. Kaneko, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 24, 1086 (1993).
9. I. G. Macdonald, Hall Polynomials and Symmetric Functions, 2nd ed. (Oxford University Press, Oxford, 1995).
10. P. J. Forrester, Phys. Lett. A 179, 127 (1993).
11. P. J. Forrester, J. Math. Phys. 35, 2539 (1993).
12. P. J. Forrester, Nucl. Phys. B 416, 377 (1994).
13. T. H. Baker and P. J. Forrester, Commun. Math. Phys. 188, 1371 (1997).
14. P. J. Forrester, in Random Matrices, Log-Gases and the Calogero-Sutherland Model, in Quantum Many-Body Problems and Representation Theory, Vol. 1 in MSJ Memoirs (Mathematical Society of Japan, Tokyo, 1998), pp. 97-181.
15. P. J. Forrester and N. S. Witte, math-ph/0204008.
16. P. J. Forrester and N. S. Witte, Commun. Math. Phys. 219, 357 (2001).
17. E. Brezin and S. Hikami, Commun. Math. Phys. 223, 363 (2001).
18. M. Mulase and A. Waldron, math-ph/0206011.
19. E. Brézin and S. Hikami, Commun. Math. Phys. 214, 111 (2000).
20. E. Strahov and Y. V. Fyodorov, math-ph/02010010.
21. M. L. Mehta, Random Matrices (Academic, New York, 1991).
22. E. W. Barnes, Q. J. Pure Appl. Math. 31, 264 (1900).
23. P. J. Forrester and E. M. Rains, math-ph/0211042.
24. D. Porter and D. Stirling, Integral Equations (Cambridge University Press, Cambridge, 1990).
25. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic, New York, 1994).
26. M. E. Fisher and R. E. Hartwig, Adv. Chem. Phys. 15, 333 (1968).
27. A. Bottcher and B. Silbermann, Analysis of Tocplitz Operators (Akademie, Berlin, 1989).
28. P. J. Forrester and C. Pisani, Nucl. Phys. B 374, 720 (1992).
29. I. I. Hirschmann, Am. J. Math. 88, 577 (1965).
30. K. Johansson, Ann. Math. 145, 519 (1997).
31. C. W. J. Beenakker, Nucl. Phys. B 422, 515 (1994).
32. Y. L. Luke, The Special Functions and Their Approximations (Academic, New York, 1969), Vol. 1.