Treating many-body quantum systems by means of Classical Mechanics
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URI (for links/citations):
http://www.springer.com/series/361http://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:
2017Journal Name:
Springer Proceedings in PhysicsJournal Quartile in Scopus:
без квартиляJournal Quartile in Web of Science:
без квартиляBibliographic 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. 37-48Abstract:
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.