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.
Original language | English |
---|---|
Article number | 103513 |
Journal | Journal of Mathematical Physics |
Volume | 56 |
Issue number | 10 |
DOIs | |
Publication status | Published - 1 Oct 2015 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics