dorsal/arxiv
View SchemaDetermination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703168 |
| URL | https://arxiv.org/abs/quant-ph/0703168 |
| DOI | 10.1016/j.physleta.2007.03.010 |
| Journal | Physics Letters A 367 (2007) 300-306 |
Abstract
Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric. The domain D of the existence of this metric is studied here for a nontrivial though still non-numerical four-parametric "benchmark" matrix model.
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"abstract": "Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex\nanharmonic oscillators) possess a strictly real, \"physical\" bound-state\nspectrum. This means that they are (quasi-)Hermitian with respect to a suitable\nnon-standard metric. The domain D of the existence of this metric is studied\nhere for a nontrivial though still non-numerical four-parametric \"benchmark\"\nmatrix model.",
"arxiv_id": "quant-ph/0703168",
"authors": [
"Miloslav Znojil"
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"doi": "10.1016/j.physleta.2007.03.010",
"journal_ref": "Physics Letters A 367 (2007) 300-306",
"title": "Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model",
"url": "https://arxiv.org/abs/quant-ph/0703168"
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