dorsal/arxiv
View SchemaCoupled-channel version of PT-symmetric square well
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511085 |
| URL | https://arxiv.org/abs/quant-ph/0511085 |
| DOI | 10.1088/0305-4470/39/2/014 |
| Journal | J.Phys. A39 (2006) 441-456 |
Abstract
Coupled pair of PT-symmetric square wells is studied as a prototype of a quantum system characterized by two manifestly non-Hermitian commuting observables. We demonstrate that there exists a domain of couplings where both the respective sets of eigenvalues (viz., energies and spin projections) remain real and where the model acquires a consistent probabilistic interpretation mediated by an `ad hoc' scalar product.
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"abstract": "Coupled pair of PT-symmetric square wells is studied as a prototype of a\nquantum system characterized by two manifestly non-Hermitian commuting\nobservables. We demonstrate that there exists a domain of couplings where both\nthe respective sets of eigenvalues (viz., energies and spin projections) remain\nreal and where the model acquires a consistent probabilistic interpretation\nmediated by an `ad hoc\u0027 scalar product.",
"arxiv_id": "quant-ph/0511085",
"authors": [
"Miloslav Znojil"
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"doi": "10.1088/0305-4470/39/2/014",
"journal_ref": "J.Phys. A39 (2006) 441-456",
"title": "Coupled-channel version of PT-symmetric square well",
"url": "https://arxiv.org/abs/quant-ph/0511085"
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