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Randomly incomplete spectra and intermediate statistics

Authors
  • Bohigas, O.
  • Pato, M. P.
Type
Preprint
Publication Date
Aug 07, 2006
Submission Date
Aug 07, 2006
Identifiers
DOI: 10.1103/PhysRevE.74.036212
arXiv ID: cond-mat/0608165
Source
arXiv
License
Unknown
External links

Abstract

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions towards Poisson from random matrix theory (RMT) spectra and picket fence spectra. It is shown that the Fredholm determinant formalism of RMT extends naturally to describe incomplete RMT spectra.

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