Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
Generic properties of the strength function (local density of states (LDOS)) and chaotic eigenstates are analyzed for isolated systems of interacting particles. Both random matrix models and dynamical systems are considered in the unique approach. Specific attention is paid to the quantum-classical correspondence for the form of the LDOS and eigenstates, and to the localization in the energy shell. New effect of the non-ergodicity of individual eigenstates in a deep semiclassical limit is briefly discussed.
Keywords
Cite
@article{arxiv.cond-mat/0009207,
title = {Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space},
author = {F. M. Izrailev},
journal= {arXiv preprint arXiv:cond-mat/0009207},
year = {2009}
}
Comments
RevTex, 11 pages including 5 Postscript figures, submitted to the Proceedings of the Nobel Simposia "Quantum Chaos Y2K"