Pseudospectra in non-Hermitian quantum mechanics
By David Krejcirík, P. Siegl, Milos Tater, Joe Viola. 2014
153 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6f1a94363c2c5ef26e8296a73b8485ac4d630329
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Pseudospectrum and Black Hole Quasinormal Mode Instability (2020, background): “non-conservative systems, from which we highlight its applications in hydrodynamics [4] and in non-Hermitian quantum mechanics [10].”