Pseudospectra in non-Hermitian quantum mechanics


Autoria(s): Krejčiřík, D.; Siegl, Petr; Tater, M.; Viola, J.
Data(s)

28/10/2015

Resumo

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.

Formato

application/pdf

application/pdf

Identificador

http://boris.unibe.ch/74322/1/Krejcirik-2015-56.pdf

http://boris.unibe.ch/74322/8/1402.1082v2.pdf

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 <http://dx.doi.org/10.1063/1.4934378>

doi:10.7892/boris.74322

info:doi:10.1063/1.4934378

urn:issn:0022-2488

Idioma(s)

eng

Publicador

American Institute of Physics

Relação

http://boris.unibe.ch/74322/

Direitos

info:eu-repo/semantics/restrictedAccess

info:eu-repo/semantics/openAccess

Fonte

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 <http://dx.doi.org/10.1063/1.4934378>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed