Gaussian quantum fluctuations in interacting many particle systems
数学物理
2009-11-10 v2 math.MP
量子物理
摘要
We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state becomes a Gaussian normal distribution in the limit of infinite number of particles. We indicate some possible applications.
引用
@article{arxiv.math-ph/0312045,
title = {Gaussian quantum fluctuations in interacting many particle systems},
author = {M. Hartmann and G. Mahler and O. Hess},
journal= {arXiv preprint arXiv:math-ph/0312045},
year = {2009}
}
备注
10 pages, formulation made mathematically more precise, two examples added, accepted for publication in Letters in Mathematical Physics