Optimal Fluctuations and Tail States of non-Hermitian Operators

A. V. Izyumov; B. D. Simons

doi:10.1103/physrevlett.83.4373

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arXiv · cond-mat/9910163

Optimal Fluctuations and Tail States of non-Hermitian Operators

A. V. Izyumov·B. D. Simons

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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.

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A. V. Izyumov, B. D. Simons. 1999-10-11. Optimal Fluctuations and Tail States of non-Hermitian Operators. https://doi.org/10.1103/physrevlett.83.4373

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