Pseudospectra in non-Hermitian quantum mechanics

D. Krejčiřík; P. Siegl; M. Tater; J. Viola

doi:10.1063/1.4934378

Pseudospectra in non-Hermitian quantum mechanics

D. Krejčiřík
, P. Siegl
, M. Tater
, J. Viola

Research output: Contribution to journal › Article › peer-review

109 Citations (Scopus)

522 Downloads (Pure)

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.

Original language	English
Article number	103513
Journal	Journal of Mathematical Physics
Volume	56
Issue number	10
DOIs	https://doi.org/10.1063/1.4934378
Publication status	Published - 01 Oct 2015
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Pseudospectra in non-Hermitian quantum mechanics
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Cite this

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AB - 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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Pseudospectra in non-Hermitian quantum mechanics

Abstract

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