Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
arXiv:quant-ph/0511194 · doi:10.1088/0305-4470/39/15/011
Abstract
Bound states generated by K coupled PT-symmetric square wells are studied in a series of models where the Hamiltonians are assumed pseudo-Hermitian and symmetric. Specific rotation-like generalized parities are considered such that 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.
22 p., submitted and to be presented, this week, to PHHQP IV Int. Workshop in Stellenbosch (http://academic.sun.ac.za/workshop)