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

Authors
  • Mostafazadeh, Ali
  • Ozcelik, Seher
Type
Published Article
Publication Date
Nov 28, 2006
Submission Date
Jul 18, 2006
Identifiers
arXiv ID: quant-ph/0607120
Source
arXiv
License
Unknown
External links

Abstract

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.

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