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Recent progress in the theory of random-matrix models

  • II. Spectra and States
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Quantum Chaos and Statistical Nuclear Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 263))

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References

  1. C. E. Porter, Ed., Statistical Theories of Spectra: Fluctuations, Academic Press, New York (1965); M. L. Mehta, Random Matrices, Academic Press, New York (1967); E. P. Wigner, Symmetries and Reflections, Ox Bow Press, Woodbridge (1979), p. 203.

    Google Scholar 

  2. T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981).

    Google Scholar 

  3. J. Von Neumann and E. P. Wigner, Phys. Z. 30, 462 (1929).

    Google Scholar 

  4. F. J. Dyson and M. L. Mehta, J. Math. Phys. 4, 701 (1963).

    Google Scholar 

  5. H. I. Liou, G. Hacken, J. Rainwater, and U. N. Singh, Phys. Rev. C11, 462 (1975); W. M. Wilson, E. G. Bilpuch, and G. E. Mitchell, Nucl. Phys. A245, 285 (1975); C. Coceva and M. Stefanon, Nucl. Phys. A315, 1 (1979); and other references therein.

    Google Scholar 

  6. N. Rosenzweig and C. E. Porter, Phys. Rev. 120, 1698 (1960); H. S. Camarda and P. D. Georgopulos, Phys. Rev. Lett 50, 492 (1983).

    Google Scholar 

  7. A. Pandey, Ann. Phys. (N.Y.) 119, 170 (1979).

    Google Scholar 

  8. K. K. Mon and J. B. French, Ann. Phys. (N.Y.) 95, 90 (1975).

    Google Scholar 

  9. S. S. M. Wong and J. B. French, Nucl. Phys. A198, 188 (1972).

    Google Scholar 

  10. A. Pandey, Ann. Phys. (N.Y.) 134, 110 (1981).

    Google Scholar 

  11. R. U. Haq, A. Pandey, and 0. Bohigas, Phys. Rev. Lett. 48, 1086 (1982); 0. Bohigas, R. U. Haq, and A. Pandey, Phys. Rev Lett. 54, 1645 (1985).

    Google Scholar 

  12. J. B. French, V. K. B. Kota, A. Pandey, and S. Tomsovic, Phys. Rev. Lett. 54, 2313 (1985), and to be published.

    Google Scholar 

  13. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983); M. L. Mehta and A. Pandey, J. Phys. A16, 2655 (1983).

    Google Scholar 

  14. 0. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).

    Google Scholar 

  15. M. V. Berry, Proc. Roy. Soc. London A400, 229 (1985).

    Google Scholar 

  16. F. J. Dyson, J. Math. Phys. 3, 1191 (1962).

    Google Scholar 

  17. A. Pandey, to be published.

    Google Scholar 

  18. L. A. Pastur, Th. Math. Phys. 10, 67 (1972).

    Google Scholar 

  19. F. J. Dyson, Commun. Math. Phys. 19, 235 (1970); M. L. Mehta, Commun. Math. Phys. 20, 245 (1971).

    Google Scholar 

  20. J. J. M. Verbaarschot and M. R. Zirnbauer, Ann. Phys. (N.Y.) 158, 78 (1984); K. B. Efetov, Adv. in Phys. 32, 53 (1983).

    Google Scholar 

  21. M. L. Mehta and J. des Cloizeaux, Ind. J. Pure Appl. Math. 3, 329 (1972); M. L. Mehta and A. Pandey, J. Phys. A16, L601 (1983).

    Google Scholar 

  22. E. Haller, H. Koppel, and L. S. Cederbaum, Chem. Phys. Lett. 101, 215 (1983); E. Abramson, R. W. Field, D. Imre, K. K.Innes, and J. L. Kinsey, J. Chem. Phys. 80, 2298 (1984); S. Mukamel, J. Sue, and A. Pandey, Chem. Phys. Lett. 105, 134 (1984).

    Google Scholar 

  23. M. V. Berry and M. Tabor, Proc. Roy. Soc. London A356, 375 (1977).

    Google Scholar 

  24. P. Pechukas, Phys. Rev. Lett. 51, 943 (1983); T. Yukawa, Phys. Rev. Lefntt. 54, 1883 (1985).

    Google Scholar 

  25. G. Casati, B. V. Chirikov, and I. Guarneri, Phys. Rev. Lett. 54, 1350 (1985); T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984).

    Google Scholar 

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T. H. Seligman H. Nishioka

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© 1986 Springer-Verlag

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Pandey, A. (1986). Recent progress in the theory of random-matrix models. In: Seligman, T.H., Nishioka, H. (eds) Quantum Chaos and Statistical Nuclear Physics. Lecture Notes in Physics, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17171-1_7

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  • DOI: https://doi.org/10.1007/3-540-17171-1_7

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  • Online ISBN: 978-3-540-47230-8

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