Quantum Ergodicity and Localization in Conservative Systems: the Wigner Band Random Matrix Model

Preprint

3 July 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9607018

Abstract

First theoretical and numerical results on the global structure of the energy shell, the Green function spectra and the eigenfunctions, both localized and ergodic, in a generic conservative quantum system are presented. In case of quantum localization the eigenfunctions are shown to be typically narrow and solid, with centers randomly scattered within the semicircle energy shell while the Green function spectral density (local spectral density of states) is extended over the whole shell, but sparse.

Keywords

ENERGY SHELL WHILE THE GREEN
MODEL FIRST THEORETICAL
LOCALIZED AND ERGODIC
CONSERVATIVE SYSTEMS
QUANTUM ERGODICITY
DENSITY OF STATES
WIGNER BAND
BAND RANDOM
WIGNER

All Related Versions

Version 1, 1996-07-03, ArXiv
Published version: Physics Letters A, 223 (6), 430.

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