Fizika Nizkikh Temperatur: Volume 47, Number 4 (April 2021), p. 378-381    ( to contents , go back )

Nonstationary equation for the one-particle wave function of the Bose–Einstein condensate

V. B. Bobrov1,2, S. A. Trigger1,3, and A. G. Zagorodny4

1Joint Institute for High Temperatures of the Russian Academy of Sciences, Moscow 125412, Russia
E-mail: vic5907@mail.ru

2National Research University “Moscow Power Engineering Institute”, Moscow 111250, Russia

3Physical Institute, Humboldt-University, Berlin D-12489, Germany
E-mail: satron@mail.ru

4Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kiev 03680, Ukraine
E-mail: azagorodny@bitp.kiev.ua
pos Анотація:

Received December 8, 2020, revised January 12, 2021, published online February 26, 2021

Abstract

Based on the self-consistent Hartree–Fock approximation, the nonstationary equation is obtained for the one-particle wave function describing the Bose–Einstein condensate in a rarefied gas of spin-zero bosons. A rarefied gas of bosons is exposed to the static external field, which ensures its finite ground state. The derived equation allows one to correctly determine the ground state energy in the stationary case.

Key words: degenerate Bose gas, Bose–Einstein condensate, self-consistent Hartree–Fock approximation, ground state energy.

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