Level Spacings, Correlation Functions and Statistics

  • M. L. Mehta


Books on scientific subjects can be divided into two categories: Ones written on fast developing subjects and becoming even faster out of date; and those written in the old-fashioned way on subjects which are expected soon to die. At the time of publication in 1967 I considered the book “Random Matrices” to be of the second category. Fortunately my expectation turned out to be wrong. The random matrices are not only still living but are healthy and growing as can be witnessed by the number of papers published and by a part of this conference itself.


Random Matrice Random Matrix Electronic Energy Level Real Symmetric Matrice Couple Channel Calculation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



  1. C. Bloch, Nuclear Physics, Les Houches, 1968, Gordon and Breach, p. 351.Google Scholar
  2. A. Bohr and B. R. Mottelson, Nuclear Structure, W. A. Benjamin, 1969, app. 2C.Google Scholar
  3. R. Kubo, in “Polarization, Matière et Rayonnement”, Press. Univ. de France, Paris, 1970.Google Scholar
  4. J. E. Lynn, The Theory of Neutron Resonance Reactions, Clarendon Press, Oxford, 1968, chapter 5.Google Scholar
  5. M. L. Mehta, Random Matrices, Academic Press, New York, 1967.zbMATHGoogle Scholar
  6. C. E. Porter, Statistical Theories of Spectra; Fluctuations, Academic Press, New York, 1965.Google Scholar
  7. N. Rosenzweig, Contemp. Phys., Trieste Symp. 1968, vol. II, Int. At. Energ. Agency, Vienna, 1969, p. 381.Google Scholar
  8. E. P. Wigner, SIAM Review 9, 1 (1967).ADSzbMATHCrossRefGoogle Scholar

Experimental Papers

  1. ANL group — (L. M. Bollinger, G. E. Thomas), Phys. Rev. 171, 1293 (1968), Contributions to this Conference.ADSCrossRefGoogle Scholar
  2. BNL group — (M. R. Bhat, R. E. Chrien, S. F. Mughabghab) Phys. Rev. 162, 1125 (1967), Contributions to this Conference.CrossRefGoogle Scholar
  3. Columbia group — (H. Camarda, J. S. Desjardins, J. B. Garg, G. Hacken, W. W. Havens, Jr., H. I. Liou, J. S. Peterson, F. Rahn, J. Rainwater, J. L. Rosen, M. Slagowitz, S. Wynchank).Google Scholar
  4. Neutron Resonance Spectroscopy VI, Phys. Rev. 166, 1234 (1968), Neutron Resonance Spectroscopy VII and VIII (to be published). Contributions to this Conference.Google Scholar

Theoretical Papers

  1. R. Balian, Nuovo Cimento, B57, 183 (1968); J. Phys. Soc. Japan, 26 Suppl, 30 (1968).ADSGoogle Scholar
  2. C. Bloch, J. Phys. Soc. Japan, 26 Suppl. 57 (1968).Google Scholar
  3. O. Bohigas and J. Flores, Physics Letters, 34B, 261 (1971); Contributions to this conference.ADSGoogle Scholar
  4. F. J. Dyson, Comm. Math. Phys. 19, 255 (1970); Diagnostics of errors in a series of nuclear levels (to come).MathSciNetADSCrossRefGoogle Scholar
  5. L. D. Favro and J. F. MacDonald, Phys. Rev. Letters 19, 1254 (1967); J. Math. Phys. 9,1429 (1968).ADSCrossRefGoogle Scholar
  6. J. B. French and S. S. M. Wong, Phys. Letters 33b, 449 (1970); A. Gervois, Phys. Letters 26b, 413 (1968); Nuovo Cimento B69. 181 (1970).ADSGoogle Scholar
  7. I. J. Good, J. Math. Phys. 11, 1884 (1970).MathSciNetADSCrossRefGoogle Scholar
  8. J. F. MacDonald, J. Math. Phys. 10, 1191 (1969).MathSciNetADSCrossRefGoogle Scholar
  9. J. F. MacDonald and L. D. Favro, J. Math. Phys. 9, 1114 (1968); J. Math. Phys. 11, 3103 (1970).ADSCrossRefGoogle Scholar
  10. M. L. Mehta, Comm. Math. Phys. 20, 245 (1970a); Nuovo Cimento B65, 107 (1970b); On spacing distributions for large spacings (unpublished report D. Ph.T.-71-12, Saclay).ADSCrossRefGoogle Scholar
  11. M. L. Mehta and J. des Cloizeaux, The probabilities for several consecutive eigenvalues of a random matrix (to be published in the Indian J. Math.).Google Scholar
  12. M. L. Mehta, J. E. Monahan and N. Rosenzweig, Nucl. Phys. A109. 437 (1968).ADSGoogle Scholar
  13. M. L. Mehta and N. Rosenzweig, Nucl. Phys. A109, 449 (1968).ADSGoogle Scholar
  14. P. A. Mello and M. Moshinsky, Contribution to this conference.Google Scholar
  15. J. E. Monahan and N. Rosenzweig, Phys. Rev. C1, 1714 (1970); Contribution to this conference.ADSGoogle Scholar
  16. N. Rosenzweig, Nuovo Cimento 38, 1047 (1965).MathSciNetCrossRefGoogle Scholar
  17. W. H. Oison and V. R. R. Uppuluri, Contribution to this conference.Google Scholar
  18. S. I. Sukhoruchkin, Contributions to this conference.Google Scholar
  19. N. Ullah, J. Math. Phys, 8, 1095 (1967), 10, 2099 (1969); Contribution to this conference.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press 1972

Authors and Affiliations

  • M. L. Mehta
    • 1
  1. 1.C.E.N. de Saclay91 Gif-sur-YvetteFrance

Personalised recommendations