Path-Integral Formulation of Pseudo-Hermitian Quantum Mechanics and the Role of the Metric Operator

Abstract

We provide a careful analysis of the generating functional in the path integral formulation of pseudo-Hermitian and in particular PT-symmetric quantum mechanics and show how the metric operator enters the expression for the generating functional.

Published version, 4 pages

References in corpus (2)

• Time-Dependent Pseudo-Hermitian Hamiltonians Defining a Unitary Quantum System and Uniqueness of the Metric Operator
• The disappearing $Q$ operator

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• Topological field theory of dynamical systems
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems
• Physical constraints on effective non-Hermitian systems