Optimal Fluctuations and Tail States of non-Hermitian Operators

Preprint

12 October 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9910163

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.

Keywords

STATISTICAL PROPERTIES
VARIATIONAL APPROACH
OPTIMAL FLUCTUATIONS
PARTICLE PROPAGATING
HERMITIAN OPERATORS
IMAGINARY SCALAR
TAIL STATES
REFINEMENT

All Related Versions

Version 1, 1999-10-12, ArXiv
Published version: Physical Review Letters, 83 (21), 4373.

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