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Pseudospectra in non-Hermitian quantum mechanics
- 1.0451492 - ÚJF 2016 RIV US eng J - Journal Article
Krejčiřík, David - Siegl, Petr - Tater, Miloš - Viola, J.
Pseudospectra in non-Hermitian quantum mechanics.
Journal of Mathematical Physics. Roč. 56, č. 10 (2015), s. 103513. ISSN 0022-2488. E-ISSN 1089-7658
R&D Projects: GA ČR(CZ) GA14-06818S; GA MŠMT 7AMB12FR020
Institutional support: RVO:61389005
Keywords : quadratic differential operators * magnetic field
Subject RIV: BE - Theoretical Physics
Impact factor: 1.234, year: 2015
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.
Permanent Link: http://hdl.handle.net/11104/0252610
Number of the records: 1