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

Дата и время публикации : 1996-04-15T11:30:30Z

Авторы публикации и институты :
Patrizia Castiglione
Giovanni Jona-Lasinio
Carlo Presilla

Ссылка на журнал-издание: J.Phys.A29:6169-6182,1996
Коментарии к cтатье: 15 pages RevTeX, 11 postscript figures included with psfig, uuencoded gz-compressed .tar file
Первичная категория: cond-mat

Все категории : cond-mat, chao-dyn, nlin.CD, quant-ph

Краткий обзор статьи: 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.

Category: Physics