Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems

dc.creatorMostafazadeh, Ali
dc.creatorOzcelik, Seher
dc.date2006-07-18
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:22:56Z
dc.date.available2026-07-07T07:22:56Z
dc.descriptionWe give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators η_+, and η_+-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 η_+. 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.
dc.descriptionpublished version, 11 pages, contributed to the Proceedings of the 5th Worksop on Quantization, Dualities, and Integrable Systems, held in Pamukkale University, Denizle, Turkey, 23-27 January, 2006
dc.identifierhttps://arxiv.org/abs/quant-ph/0607120
dc.identifierhttp://arxiv.org/abs/quant-ph/0607120
dc.identifierTurk J. Phys. 30, 437-443 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115839
dc.subjectQuantum Physics
dc.titleExplicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
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