Pseudospectra in non-Hermitian quantum mechanics

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

doi:10.1063/1.4934378

Pseudospectra in non-Hermitian quantum mechanics

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

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Aufsatznummer	103513
Fachzeitschrift	Journal of Mathematical Physics
Jahrgang	56
Ausgabenummer	10
DOIs	https://doi.org/10.1063/1.4934378
Publikationsstatus	Veröffentlicht - 1 Okt. 2015
Extern publiziert	Ja

ASJC Scopus subject areas

Statistische und nichtlineare Physik
Mathematische Physik

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Pseudospectra in non-Hermitian quantum mechanics

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