Optimal Fluctuations and Tail States of non-Hermitian Operators
A. V. Izyumov, B. D. Simons
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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