Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
Miloslav Znojil
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 R2-symmetric. Specific rotation-like generalized parities R are considered such that RN=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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