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arXiv · 2607.00859

On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases

Lukas Reichmann·Arnaud Triay
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Abstract

We consider a Bose gas on the three-dimensional torus in the Gross--Pitaevskii regime and explain how to remove the assumptions of radiality and compact support on the interaction potential in the proof of Bose--Einstein condensation and convergence of the excitation spectrum to Bogoliubov's prediction. In particular, we sketch the proof of [50].

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Lukas Reichmann, Arnaud Triay. 2026-07-01. On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases. https://arxiv.org/abs/2607.00859

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