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Physical Review

Ground-State Energy of a One-Dimensional Many-Boson System

Mark Bolsterli

Published Feb 5, 1969• 5 citations
Publisher

Abstract

The ground-state energy for a model due to Lieb and Liniger is calculated in the pair approximation.Received 18 October 1968DOI:https://doi.org/10.1103/PhysRev.178.432©1969 American Physical Society

DOI
10.1103/physrev.178.432

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The ground-state energy for a model due to Lieb and Liniger is calculated in the pair approximation.Received 18 October 1968DOI:https://doi.org/10.1103/PhysRev.178.432©1969 American Physical Society
The ground-state energy of a one-dimensional system of many bosons interacting via a repulsive s-function potential is carried out through third-order corrections, when the coupling parameter γ of the system is small. The procedures' are basically developed following both the Bogoliubov-Zubarev and the Davison-Feenberg methods. It is seen numerically that a slight difference exists in between, at least, starting from the third-order correction; the former one gives rise to a more improved agreement with the exact results obtained by Lieb and Liniger, and also, the variational contribution in the later is still dominant even in the third-order correction.