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Semiclassical properties of eigenfunctions and occupation number distribution for a model of two interacting particles

L. Benet, F. M. Izrailev, T. H. Seligman, A. Suarez-Moreno

chao-dynarXiv:chao-dyn/9912035

Abstract

Quantum-classical correspondence for the shape of eigenfunctions, local spectral density of states and occupation number distribution is studied in a chaotic model of two coupled quartic oscillators. In particular, it is shown that both classical quantities and quantum spectra determine global properties of occupation numbers and inverse participation ratio.

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