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Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels

Miloslav Znojil
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Abstract

Bound states generated by K coupled PT-symmetric square wells are studied in a series of models where the Hamiltonians are assumed $R-$pseudo-Hermitian and $R^2-$symmetric. Specific rotation-like generalized parities $R$ are considered such that $R^N=I$ at some integers N. We show that and how our assumptions make the models exactly solvable and quasi-Hermitian. This means that they possess the real spectra as well as the standard probabilistic interpretation.

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Miloslav Znojil. 2005-11-20. Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels. https://doi.org/10.1088/0305-4470/39/15/011

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