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On Bose-Einstein condensation in one-dimensional lattices of delta functions

M. Bordag

Institute for Theoretical Physics, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany

https://doi.org/10.1142/S0217732320400052Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue on Selected Papers from the Fourth International Symposium on the Casimir Effect, Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia, 24–28 June 2019; Editors: V. M. Mostepanenko and E. N. Velichko

Abstract

We investigate Bose-Einstein condensation of a gas of non-interacting Bose particles moving in the background of a periodic lattice of delta functions. In the one-dimensional case, where one has no condensation in the free case, we showed that this property persist also in the presence of the lattice. In addition we formulated some conditions on the spectral functions which would allow for condensation.

Keywords:

PACS: 03.75.Lm

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