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    Treating many-body quantum systems by means of Classical Mechanics

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    DOI:
    10.1007/978-3-319-47810-4_4
    URI (for links/citations):
    http://www.springer.com/series/361
    http://elib.sfu-kras.ru/handle/2311/70237
    Author:
    Andrey R. Kolovsky
    Corporate Contributor:
    Институт инженерной физики и радиоэлектроники
    Кафедра теоретической физики и волновых явлений
    Date:
    2017
    Journal Name:
    Springer Proceedings in Physics
    Journal Quartile in Scopus:
    без квартиля
    Journal Quartile in Web of Science:
    без квартиля
    Bibliographic Citation:
    Andrey R. Kolovsky. Treating many-body quantum systems by means of Classical Mechanics [Текст] / Andrey R. Kolovsky // Springer Proceedings in Physics. — 2017. — Т. 191. — С. 37-48
    Abstract:
    Many-body physics of identical particles is commonly believed to be a sovereign territory of Quantum Mechanics. The aim of this contribution is to show that it is actually not the case and one gets useful insights into a quantum many- body system by using the theory of classical dynamical systems. In the contribution we focus on one paradigmatic model of many-body quantum physics - the Bose- Hubbard model which, in particular, describes interacting ultracold Bose atoms in an optical lattice. We show how one can find/deduce the energy spectrum of the Bose-Hubbard model by using a kind of the semiclassical approach.
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