Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space

Details Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space

2000-09-14

arxiv.org/abs/cond-mat/0009207v1

Physica Scripta, T90 (2001) 95

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex, 11 pages including 5 Postscript figures, submitted to the Proceedings of the Nobel Simposia "Quantum Chaos Y2K"

Scientific paper

10.1238/Physica.Topical.090a0009

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.

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