Pseudo-Hermiticity, PT-symmetry, and the Metric Operator

Abstract

The main achievements of Pseudo-Hermitian Quantum Mechanics and its distinction with the indefinite-metric quantum theories are reviewed. The issue of the non-uniqueness of the metric operator and its consequences for defining the observables are discussed. A systematic perturbative expression for the most general metric operator is offered and its application for a toy model is outlined.

5 pages, Contributed to the Proceedings of the 3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, June 20-22, 2005, Koc University, Istanbul, Turkey

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Cited by in corpus (5)

• Perturbation theory of PT-symmetric Hamiltonians
• Matching method and exact solvability of discrete PT-symmetric square wells
• Quasi-hermitian Quantum Mechanics in Phase Space
• Quasi-exact minus-quartic oscillators in strong-core regime
• General Approach to Error Detection of Bosonic Codes via Phase Estimation