arXiv Analytics

Sign in

arXiv:quant-ph/0511194AbstractReferencesReviewsResources

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

Miloslav Znojil

Published 2005-11-20Version 1

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.

Comments: 22 p., submitted and to be presented, this week, to PHHQP IV Int. Workshop in Stellenbosch (http://academic.sun.ac.za/workshop)
Journal: J. Phys. A: Math. Gen. 39 (2006) 4047-4061
Categories: quant-ph
Related articles: Most relevant | Search more
arXiv:quant-ph/0007108 (Published 2000-07-28)
Exactly solvable models of quantum mechanics including fluctuations in the framework of representation of the wave function by random process
arXiv:quant-ph/0403196 (Published 2004-03-27)
Periodic Quasi - Exactly Solvable Models
arXiv:quant-ph/0607121 (Published 2006-07-18)
Scattering of two-level atoms by delta lasers: Exactly solvable models in atom optics