中文

Random hermitian matrices in an external field

凝聚态物理 2009-10-30 v2

摘要

In this article, a model of random hermitian matrices is considered, in which the measure exp(S)\exp(-S) contains a general U(N)-invariant potential and an external source term: S=N\tr(V(M)+MA)S=N\tr(V(M)+MA). The generalization of known determinant formulae leads to compact expressions for the correlation functions of the energy levels. These expressions, exact at finite NN, are potentially useful for asymptotic analysis.

关键词

引用

@article{arxiv.cond-mat/9703033,
  title  = {Random hermitian matrices in an external field},
  author = {P. Zinn-Justin},
  journal= {arXiv preprint arXiv:cond-mat/9703033},
  year   = {2009}
}

备注

10 pages, TeX, using phyzzx macros