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: |
05 Dec 2022 14:50 |
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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