English

Remarks on BEC on graphs

Mathematical Physics 2017-07-19 v4 math.MP Operator Algebras

Abstract

We consider Bose--Einstein condensation (BEC) on graphs with transient adjacency matrix and obtain a quasi-free state exhibiting BEC is non-factor and decompose into generalized coherent states. We review necessary and sufficient conditions that a generalized coherent state is faithful, factor, and pure and generalized coherent states are quasi-equivalent as well.

Keywords

Cite

@article{arxiv.1705.00820,
  title  = {Remarks on BEC on graphs},
  author = {Tomohiro Kanda},
  journal= {arXiv preprint arXiv:1705.00820},
  year   = {2017}
}

Comments

18 pages, Revised version, to appear in Reviews in Mathematical Physics

R2 v1 2026-06-22T19:33:42.227Z