Dirichlet spectra of the paradigm model of complex PT-symmetric potential: \(V(x)=-(ix)^N\)
DOI10.1016/J.AOP.2017.06.015zbMath1373.81237arXiv1606.04757OpenAlexW3101747800MaRDI QIDQ1674487
Sachin Kumar, Dhruv Sharma, Zafar Ahmed
Publication date: 2 November 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.04757
bound statesDirichlet spectrumKato's isolated pointsnon-analytic spectrum of analytic Hamiltoniansnon-Hermitian complex PT-symmetric potentialssquare integrable eigenstates
Groups and algebras in quantum theory and relations with integrable systems (81R12) 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)
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Cites Work
- A PT-invariant potential with complex QES eigenvalues
- Schrödinger operators with complex potential but real spectrum
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- Accidental crossings of eigenvalues in the one-dimensional complex PT-symmetric Scarf-II potential
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- 𝓟𝓣-symmetric quantum mechanics
- Reflectionlessness, kurtosis and top curvature of potential barriers
- Reflectionless potentials and symmetry
- A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues
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