Physics – Quantum Physics
Scientific paper
2006-07-18
Turk J. Phys. 30, 437-443 (2006)
Physics
Quantum Physics
published version, 11 pages, contributed to the Proceedings of the 5th Worksop on Quantization, Dualities, and Integrable Syst
Scientific paper
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.
Mostafazadeh Ali
Ozcelik Seher
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