Turkish Journal of Physics
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
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 C^2. The latter 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.
Pseudo-Hermitian, quasi-Hermitian, metric operator, observable, two-level system.
MOSTAFAZADEH, ALİ and ÖZÇELİK, SEHER (2006) "Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems," Turkish Journal of Physics: Vol. 30: No. 5, Article 8. Available at: https://journals.tubitak.gov.tr/physics/vol30/iss5/8