Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
Quantum Physics
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0511194,
title = {Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/0511194},
year = {2009}
}
Comments
22 p., submitted and to be presented, this week, to PHHQP IV Int. Workshop in Stellenbosch (http://academic.sun.ac.za/workshop)