dorsal/arxiv
View SchemaExactly solvable models with PT-symmetry and with an asymmetric coupling of channels
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511194 |
| URL | https://arxiv.org/abs/quant-ph/0511194 |
| DOI | 10.1088/0305-4470/39/15/011 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) 4047-4061 |
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.
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"abstract": "Bound states generated by K coupled PT-symmetric square wells are studied in\na series of models where the Hamiltonians are assumed $R-$pseudo-Hermitian and\n$R^2-$symmetric. Specific rotation-like generalized parities $R$ are considered\nsuch that $R^N=I$ at some integers N. We show that and how our assumptions make\nthe models exactly solvable and quasi-Hermitian. This means that they possess\nthe real spectra as well as the standard probabilistic interpretation.",
"arxiv_id": "quant-ph/0511194",
"authors": [
"Miloslav Znojil"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/39/15/011",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 4047-4061",
"title": "Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels",
"url": "https://arxiv.org/abs/quant-ph/0511194"
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