PreprintarXiv licencearXiv
On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
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 [55].
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BibTeX
@misc{reichmann2026spherical,
title = {{On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases}},
author = {Lukas Reichmann and Arnaud Triay},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.00859},
eprint = {2607.00859},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.00859},
}
RIS
TY - UNPB
TI - On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
AU - Lukas Reichmann
AU - Arnaud Triay
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2607.00859
UR - https://arxiv.org/abs/2607.00859
AB - 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 [55].
ER -