PT-symmetry and potentiel well. The simple well case

DOI10.1002/MANA.201400255zbMath1336.47048OpenAlexW1900656726MaRDI QIDQ2786722

Nawal Mecherout, Naima Boussekkine

Publication date: 23 February 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400255

zbMATH Keywords

Schrödinger operatorsemi-classical analysis\(\mathcal{PT}\)-symmetric perturbationsWKB complex method

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator ⋮ Non-real eigenvalues for \(\mathcal{PT}\)-symmetric double wells

Cites Work

• A criterion for the reality of the spectrum of \(PT\)-symmetric Schrödinger operators with complex-valued periodic potentials
• On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
• \(PT\) Symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
• PT-symmetry and Schrödinger operators. The double well case
• Generalized PT symmetry and real spectra
• 𝓟𝓣-symmetric quantum mechanics

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