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

Authors : Ali MOSTAFAZADEH, Seher ÖZÇELİK

Pages : 437-444

Doi:10.3906/vet-1201-25

View : 12 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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