Some Properties of Level Spacing Distributions

  • O. Bohigas
  • J. Flores
Chapter

Abstract

Recently new ensembles of random matrices have been introduced and treated numerically [1, 2]. They take into account the correlations between the elements of the NXN hamiltonian matrix induced by the Pauli principle and the two-body character of the interaction, when dealing with a system (a, b, ...) j n of n identical fermions distributed among a set a, b,... of degenerate single particle orbits and of total angular momentum J. They will be called two-body random hamiltonian ensembles (TBRE).

Keywords

Spacing Distribution Monte Carlo Calculation Identical Fermion Random Matrix Ensemble Gaussian Orthogonal Ensemble 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    J. B. French and S. S. M. Wong, Phys. Lett. 33B (1970) 449;ADSGoogle Scholar
  2. [2]
    O. Bohigas and J. Flores, Phys. Lett. 34B (1971) 261;ADSGoogle Scholar
  3. [3]
    E. P. Wigner, Ann. of Math. 67 (1958) 325;MathSciNetMATHCrossRefGoogle Scholar
  4. [4]m.
    L. Mehta,Nucl. Phys. 18 (1960) 395;MATHCrossRefGoogle Scholar
  5. [5]
    M. Gaudin, Nucl. Phys. 25 (1961) 447;MATHCrossRefGoogle Scholar
  6. [6]
    P.B. Kahn, Nucl. Phys.41 (1963) 159;CrossRefGoogle Scholar
  7. [7]
    M. L. Mehta and J. des Cloizeaux, Saclay preprint DPh-T/70-74;Google Scholar
  8. [8]
    J. B. French and S. S. M. Wong,Phys. Lett. 35B(1971) 5;ADSGoogle Scholar
  9. [9]
    O. Bohigas and J. Flores, Phys. Lett. 35B (1971) 383;ADSGoogle Scholar
  10. [10]
    J.B. Garg, J. Rainwater, J. S. Peterson and W.W.Havens Jr,Phys.Rev. 134 (1964)B985;ADSCrossRefGoogle Scholar
  11. [11]G.
    Carraro and W.Kolar, Conference on Nuclear Data for Reactors, Helsinki, IAEA 1970;Google Scholar
  12. [12]
    W. Kolar and K. H. Böckhoff, Journ. of Nucl. Ener. 22 (1968) 299.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press 1972

Authors and Affiliations

  • O. Bohigas
    • 1
    • 2
  • J. Flores
    • 3
  1. 1.Institut de Physique Nucléaire91-OrsayFrance
  2. 2.Division de Physique ThéoriqueLaboratoire associé au CNRSFrance
  3. 3.Institute de FísicaUNAMMéxico

Personalised recommendations