Journals / Turkish Journal of Physics / 2006 / Cilt: 30 - Sayı: 5
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
- Journal
- Turkish Journal of Physics
- Pages
- 437–443
- DOI
- —
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.
Özet
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.