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PhysicsMathematics

Arbitrary harmonic functions as Bose--Einstein condensates

Michiel De Wilde, Robert Seiringer

2026.1.30JOURNAL OF MATHEMATICAL PHYSICS

DOI: 10.1063/5.0325354

Abstract

We show that a suitable choice of boundary conditions for the Laplacian allows for the appearance of an an arbitrary number of condensates, described by arbitrary harmonic functions, in the thermodynamic limit of an ideal Bose gas.

Citation format

WILDE, Michiel De; SEIRINGER, Robert. Arbitrary harmonic functions as bose--einstein condensates [preprint]. arXiv, 2026. arXiv:2601.22883.