- Turkish Journal of Physics
- Vol: 30 Issue: 5
- Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
Authors : Ali Mostafazadeh, Seher Özçelik
Pages : 437-444
Doi:10.3906/vet-1201-25
View : 11 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators h+, and h+-pseudo-Hermitian operators acting in C2. The latter represent the physical observables of a model whose Hamiltonian and Hilbert space are respectively H and \C2 endowed with the inner product defined by h+. 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.Keywords : Pseudo-Hermitian, quasi-Hermitian, metric operator, observable, two-level system.