Spectral properties of quantum N-body systems versus chaotic properties of their mean field approximations release_uf6bebftjrd47fdohzmowyps5u

by Patrizia Castiglione, Giovanni Jona-Lasinio, Carlo Presilla

Released as a article .

1996  

Abstract

We present numerical evidence that in a system of interacting bosons there exists a correspondence between the spectral properties of the exact quantum Hamiltonian and the dynamical chaos of the associated mean field evolution. This correspondence, analogous to the usual quantum-classical correspondence, is related to the formal parallel between the second quantization of the mean field, which generates the exact dynamics of the quantum N-body system, and the first quantization of classical canonical coordinates. The limit of infinite density and the thermodynamic limit are then briefly discussed.
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Date   1996-04-15
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