Optimal Fluctuations and Tail States of non-Hermitian Operators
Condensed Matter
2009-10-31 v1
Abstract
We develop a general variational approach to study the statistical properties of the tail states of a wide class of non-Hermitian operators. The utility of the method, which is a refinement of the instanton approach introduced by Zittartz and Langer, is illustrated in detail by reference to the problem of a quantum particle propagating in an imaginary scalar potential.
Cite
@article{arxiv.cond-mat/9910163,
title = {Optimal Fluctuations and Tail States of non-Hermitian Operators},
author = {A. V. Izyumov and B. D. Simons},
journal= {arXiv preprint arXiv:cond-mat/9910163},
year = {2009}
}
Comments
4 pages, 2 figures, to appear in PRL