dorsal/arxiv
View SchemaA return to observability near exceptional points in a schematic PT-symmetric model
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701232 |
| URL | https://arxiv.org/abs/quant-ph/0701232 |
| DOI | 10.1016/j.physletb.2007.01.046 |
| Journal | Phys. Lett. B 647 (2007) 225 - 230 |
Abstract
Many indefinite-metric (often called pseudo-Hermitian or PT-symmetric) quantum models H prove "physical" (i.e., Hermitian with respect to an innovated, ad hoc scalar product) inside a characteristic domain of parameters D. This means that the energies get complex (= unobservable) beyond the boundary (= Kato's "exceptional points", EPs). In a solvable example we detect an enlargement of D caused by the emergence of a new degree of freedom. We conjecture that such a beneficial mechanism of a return to the real spectrum near EPs may be generic and largely model-independent.
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"abstract": "Many indefinite-metric (often called pseudo-Hermitian or PT-symmetric)\nquantum models H prove \"physical\" (i.e., Hermitian with respect to an\ninnovated, ad hoc scalar product) inside a characteristic domain of parameters\nD. This means that the energies get complex (= unobservable) beyond the\nboundary (= Kato\u0027s \"exceptional points\", EPs). In a solvable example we detect\nan enlargement of D caused by the emergence of a new degree of freedom. We\nconjecture that such a beneficial mechanism of a return to the real spectrum\nnear EPs may be generic and largely model-independent.",
"arxiv_id": "quant-ph/0701232",
"authors": [
"Miloslav Znojil"
],
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"quant-ph"
],
"doi": "10.1016/j.physletb.2007.01.046",
"journal_ref": "Phys. Lett. B 647 (2007) 225 - 230",
"title": "A return to observability near exceptional points in a schematic PT-symmetric model",
"url": "https://arxiv.org/abs/quant-ph/0701232"
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