On Ground States of the Bogoliubov Energy Functional: A Direct Proof

Abstract

The Bogoliubov energy functional proposed recently by Napiórkowski, Reuvers and Solovej is revisited. We offer a direct proof of the existence of minimizers at zero temperature, which covers a significantly larger class of interaction potentials. The ideas used in this proof also imply that in any ground state, more than half of the particles are inside the Bose-Einstein condensate.

v3: Accepted manuscript. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. 16 pages. v2: 16 pages. Minor update: typos corrected, some editing, remark and reference added

Cited by in corpus (1)

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