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The main achievements of Pseudo-Hermitian Quantum Mechanics and itsdistinction with the indefinite-metric quantum theories are reviewed. The issueof the non-uniqueness of the metric operator and its consequences for definingthe observables are discussed. A systematic perturbative expression for themost general metric operator is offered and its application for a toy model isoutlined.Comment: 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, Turke

Pseudo-Hermiticity, $$\mathcal{P}\mathcal{T}$$ symmetry, and the metric operator