Pseudospectra in non-Hermitian quantum mechanics

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number103513
JournalJournal of Mathematical Physics
Issue number10
Publication statusPublished - 1 Oct 2015
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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