Pseudospectra in non-Hermitian quantum mechanics

Krejčiřík, D.; Siegl, Petr; Tater, M.; Viola, J. (2015). Pseudospectra in non-Hermitian quantum mechanics. Journal of mathematical physics, 56(10), p. 103513. American Institute of Physics 10.1063/1.4934378

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Siegl, Petr

Subjects:

500 Science > 510 Mathematics

ISSN:

0022-2488

Publisher:

American Institute of Physics

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

28 Dec 2015 14:31

Last Modified:

26 Jun 2016 02:09

Publisher DOI:

10.1063/1.4934378

ArXiv ID:

1402.1082v2

BORIS DOI:

10.7892/boris.74322

URI:

https://boris.unibe.ch/id/eprint/74322

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