Higher order solutions of Lieb–Liniger integral equation

Autor:	Miki Wadati, Toshiaki Kaminaka
Rok vydání:	2011
Předmět:	Momentum Power series Physics Distribution function Bose gas Quantum mechanics General Physics and Astronomy Ground state Integral equation Dimensionless quantity Bethe ansatz
Zdroj:	Physics Letters A. 375:2460-2464
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2011.05.026
Popis:	We study higher order solutions of Lieb–Liniger integral equation for a one-dimensional δ -function Bose gas. By use of the power series expansion method, the integral equation is solved and the correction terms which improve the Bogoliubov theory are calculated analytically in the weak coupling regime. Physical quantities such as the ground state energy and the chemical potential are represented by a dimensionless parameter γ = c / ρ , where c is the interaction strength and ρ is the number density of particles while the quasi-momentum distribution function is expressed in terms of a dimensionless parameter λ = c / K , where K is the cut-off momentum.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::25059c011f8e808485c06f5bd0035dd8 https://doi.org/10.1016/j.physleta.2011.05.026 Zobrazit plný text záznamu Full Text from ScienceDirect