Eigenvalue statistics for generalized symmetric and Hermitian matrices

  title={Eigenvalue statistics for generalized symmetric and Hermitian matrices},
  author={Adway Kumar Das and Anandamohan Ghosh},
  journal={Journal of Physics A: Mathematical and Theoretical},
Random matrix theory predicts the level statistics of a Hamiltonian to exhibit either clustering or repulsion if the underlying dynamics is integrable or chaotic, respectively. In various physical systems it is also possible to observe intermediate spectral properties showing the transition between different symmetry classes. In this work, we study generalized random matrix ensembles by dropping the constraint of canonical invariance and considering different variances in the diagonal and off… 

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  • M. BerryM. Tabor
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1977
In the regular spectrum of an f-dimensional system each energy level can be labelled with f quantum numbers originating in f constants of the classical motion. Levels with very different quantum

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  • LenzHaake
  • Mathematics
    Physical review letters
  • 1991
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