Condensation of interacting bosons
Mathematical Physics
2023-05-05 v2 math.MP
Abstract
In this third paper of a series that started with arXiv:2106.10032 [math-ph] and continued with arXiv:2108.02659 [math-ph] we show that in dimensions at low temperatures or high densities bosons interacting via pair potentials that are both positive and positive type form permutation cycles whose length diverges proportionally with the number of particles. Based on the second-cited paper, this implies Bose-Einstein condensation.
Keywords
Cite
@article{arxiv.2208.08931,
title = {Condensation of interacting bosons},
author = {Andras Suto},
journal= {arXiv preprint arXiv:2208.08931},
year = {2023}
}
Comments
29 pages, end of the proof about the coupling of cycles rewritten. arXiv admin note: text overlap with arXiv:1710.04441