Optimal Fluctuations and Tail States of Non-Hermitian Operators
- 22 November 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (21) , 4373-4376
- https://doi.org/10.1103/physrevlett.83.4373
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.Keywords
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