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.

arXiv commentPublished version, 4 pages

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Cited by in corpus (10)

• Scattering theory with localized non-Hermiticities
• The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Which Green Functions Does the Path Integral for Quasi-Hermitian Hamiltonians Represent?
• Quantum and Classical Statistical Mechanics of a Class of non-Hermitian Hamiltonians
• Self-Organized Criticality as Witten-type Topological Field Theory with Spontaneously Broken Becchi-Rouet-Stora-Tyutin Symmetry
• Topological field theory of dynamical systems
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Physical constraints on effective non-Hermitian systems
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems