Generalization of the Gross–Pitaevskii equation for multi-particle cases-Reference-Cited by-同舟云学术

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Generalization of the Gross–Pitaevskii equation for multi-particle cases

Published:2021-11-03 Issue:30 Volume:35 Page:
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Bogoliubov Nicolai¹,Rasulova Mukhayo²,Akramov Tohir³^ORCID

Affiliation:

1. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 119991, Russia

2. Institute of Nuclear Physics Academy of Sciences of Uzbekistan, Tashkent 100214, Uzbekistan

3. National University of Uzbekistan named after M. Ulugbek, Institute of Nuclear Physics Academy of Sciences of Uzbekistan, Tashkent 100214, Uzbekistan

Abstract

A new method is proposed to obtain Gross–Pitaevskii equation by the chain of Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) quantum kinetic equations. In that sense, we investigate the dynamics of a quantum system including infinite number of identical particles which interact via a (special) pair potential on the form of Dirac delta-function.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979221503112

Reference20 articles.

1. Bose-Einstein condensation in magnetic traps. Introduction to the theory

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