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

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

1996-07-03

arxiv.org/abs/cond-mat/9607018v1

Phys. Lett. A. 223 (1996) 430.

Physics

Condensed Matter

4 pages in RevTex and 4 Postscript figures; presented to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(96)00784-0

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.

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