Optimal Fluctuations and Tail States of Non-Hermitian Operators

A. V. Izyumov and B. D. Simons
Phys. Rev. Lett. 83, 4373 – Published 22 November 1999
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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 [Phys. Rev. 148, 741 (1966)], is illustrated in detail by reference to the problem of a quantum particle propagating in an imaginary scalar potential.

  • Received 23 June 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.4373

©1999 American Physical Society

Authors & Affiliations

A. V. Izyumov and B. D. Simons

  • Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, United Kingdom

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Issue

Vol. 83, Iss. 21 — 22 November 1999

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