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

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

2005-11-20

arxiv.org/abs/quant-ph/0511194v1

J. Phys. A: Math. Gen. 39 (2006) 4047-4061

Physics

Quantum Physics

22 p., submitted and to be presented, this week, to PHHQP IV Int. Workshop in Stellenbosch (http://academic.sun.ac.za/workshop

Scientific paper

10.1088/0305-4470/39/15/011

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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