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arXiv · 1402.1082

Pseudospectra in non-Hermitian quantum mechanics

D. Krejcirik·P. Siegl·M. Tater·J. Viola
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Abstract

We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics with non-Hermitian operators. We relate pseudospectral properties to quasi-Hermiticity, similarity to self-adjoint operators, and basis properties of eigenfunctions. The abstract results are illustrated by unexpected wild properties of operators familiar from PT-symmetric quantum mechanics.

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BibTeXRIS

D. Krejcirik, P. Siegl, M. Tater, J. Viola. 2014-02-05. Pseudospectra in non-Hermitian quantum mechanics. https://doi.org/10.1063/1.4934378

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