pith. machine review for the scientific record. sign in

arxiv: 1402.1082 · v2 · submitted 2014-02-05 · 🧮 math.SP · math-ph· math.MP· quant-ph

Recognition: unknown

Pseudospectra in non-Hermitian quantum mechanics

D. Krejcirik , P. Siegl , M. Tater , J. Viola
Authors on Pith no claims yet
classification 🧮 math.SP math-phmath.MPquant-ph
keywords mechanicsoperatorspropertiesquantumnon-hermitianabstractbasiscentral
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators

    hep-th 2026-04 unverdicted novelty 7.0

    The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.