Towards Strong-Coupling Generalization of the Bogoliubov Model

Details Towards Strong-Coupling Generalization of the Bogoliubov Model Towards Strong-Coupling Generalization of the Bogoliubov Model

1999-04-15

arxiv.org/abs/cond-mat/9904217v2

Physics

Condensed Matter

Statistical Mechanics

REVTeX, 7 pages, no figures

Scientific paper

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and nonrelevant behaviour of the pair distribution function at small boson separations. The aim of our paper is to propose a new way of treating the dilute Bose gas with an arbitrary strong interaction. Using the reduced density matrix of the second order and a variational procedure, this way allows us to escape the inconsistency mentioned and operate with singular potentials like the Lennard-Jones one. All the consideration concerns the zero temperature.

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