Effective Hamiltonian and excitation spectrum of harmonically trapped bosons

• Published in: Физика низких температур
• Date: 2016
• Main Author: Rovenchak, A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
• Subjects: Бозе-эйнштейновская конденсация
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/128448
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Effective Hamiltonian and excitation spectrum of harmonically trapped bosons / A. Rovenchak // Физика низких температур. — 2016. — Т. 42, № 1. — С. 49–55. — Бібліогр.: 45 назв. — англ.

An approach is proposed to obtain an effective Hamiltonian of a harmonically trapped Bose-system. Such a
 Hamiltonian is quadratic in the creation–annihilation operators and certain approximations allow to simplify
 higher (three and four operator) products to the required form. Afte...