{ "id": "quant-ph/0511194", "version": "v1", "published": "2005-11-20T10:19:57.000Z", "updated": "2005-11-20T10:19:57.000Z", "title": "Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels", "authors": [ "Miloslav Znojil" ], "comment": "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", "doi": "10.1088/0305-4470/39/15/011", "categories": [ "quant-ph" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2005-11-20T10:19:57.000Z" } ], "analyses": { "keywords": [ "exactly solvable models", "asymmetric coupling", "pt-symmetry", "coupled pt-symmetric square wells", "standard probabilistic interpretation" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2006, "month": "Apr", "volume": 39, "number": 15, "pages": 4047 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006JPhA...39.4047Z" } } }