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math-ph2026
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
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…
math-ph2026
Derivation of the 3D quintic Gross--Pitaevskii equation
Arnaud Triay, François L. A. Visconti
We study the time evolution of Bose--Einstein condensates with three-body interactions in the Gross--Pitaevskii regime. We show that Bose--Einstein condensation is preserved under…