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Non-Gaussian random-matrix ensembles with banded spectra.

Authors
  • Ghosh, Saugata
  • Pandey, Akhilesh
  • Puri, Sanjay
  • Saha, Rajdeep
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Feb 01, 2003
Volume
67
Issue
2 Pt 2
Pages
25201–25201
Identifiers
PMID: 12636732
Source
Medline
License
Unknown

Abstract

Non-Gaussian random-matrix ensembles are important in many applications. We propose Monte Carlo and Langevin methods for generating non-Gaussian ensembles and their eigenvalue spectra. We also provide a general framework for analytic studies of the level density in these ensembles. We show that, in general, the level densities exhibit banded spectra, with important implications for mesoscopic systems and complex nuclei. The universality of energy-level fluctuations is confirmed.

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