dorsal/arxiv
View SchemaConstruction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
| Authors | Miloslav Znojil, Hendrik B. Geyer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607104 |
| URL | https://arxiv.org/abs/quant-ph/0607104 |
| DOI | 10.1016/j.physletb.2006.07.028 |
| Journal | Physics Letters B 640 (2006) 52 - 56 |
Abstract
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a real spectrum, we construct all the eligible physical metrics and show that none of them admits a factorization CP in terms of an involutive charge operator C. Alternative ways of restricting the physical metric to a unique form are briefly discussed.
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"abstract": "For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric\nHamiltonian possessing a real spectrum, we construct all the eligible physical\nmetrics and show that none of them admits a factorization CP in terms of an\ninvolutive charge operator C. Alternative ways of restricting the physical\nmetric to a unique form are briefly discussed.",
"arxiv_id": "quant-ph/0607104",
"authors": [
"Miloslav Znojil",
"Hendrik B. Geyer"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physletb.2006.07.028",
"journal_ref": "Physics Letters B 640 (2006) 52 - 56",
"title": "Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model",
"url": "https://arxiv.org/abs/quant-ph/0607104"
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