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Coupled-channel version of PT-symmetric square well

Miloslav Znojil
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Abstract

Coupled pair of PT-symmetric square wells is studied as a prototype of a quantum system characterized by two manifestly non-Hermitian commuting observables. We demonstrate that there exists a domain of couplings where both the respective sets of eigenvalues (viz., energies and spin projections) remain real and where the model acquires a consistent probabilistic interpretation mediated by an `ad hoc' scalar product.

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Miloslav Znojil. 2005-11-09. Coupled-channel version of PT-symmetric square well. https://doi.org/10.1088/0305-4470/39/2/014

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