dorsal/arxiv
View SchemaExplicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
| Authors | Ali Mostafazadeh, Seher Ozcelik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607120 |
| URL | https://arxiv.org/abs/quant-ph/0607120 |
| Journal | Turk J. Phys. 30, 437-443 (2006) |
Abstract
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators \eta_+, and \eta_+-pseudo-Hermitian operators acting in two-dimensional complex Euclidean space C^2. These operators represent the physical observables of a model whose Hamiltonian and Hilbert space are respectively H and C^2 endowed with the inner product defined by \eta_+. Our calculations allows for a direct demonstration of the fact that the choice of an irreducible family of observables fixes the metric operator up to a multiplicative factor.
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"abstract": "We give an explicit characterization of the most general quasi-Hermitian\noperator H, the associated metric operators \\eta_+, and \\eta_+-pseudo-Hermitian\noperators acting in two-dimensional complex Euclidean space C^2. These\noperators represent the physical observables of a model whose Hamiltonian and\nHilbert space are respectively H and C^2 endowed with the inner product defined\nby \\eta_+. Our calculations allows for a direct demonstration of the fact that\nthe choice of an irreducible family of observables fixes the metric operator up\nto a multiplicative factor.",
"arxiv_id": "quant-ph/0607120",
"authors": [
"Ali Mostafazadeh",
"Seher Ozcelik"
],
"categories": [
"quant-ph"
],
"journal_ref": "Turk J. Phys. 30, 437-443 (2006)",
"title": "Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems",
"url": "https://arxiv.org/abs/quant-ph/0607120"
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