paper

On the Existence of the Quantum Action

arXiv:quant-ph/0106087 · doi:10.1103/PhysRevA.65.052118

Abstract

We have previously proposed a conjecture stating that quantum mechanical transition amplitudes can be parametrized in terms of a quantum action. Here we give a proof of the conjecture and establish the existance of a local quantum action in the case of imaginary time in the Feynman-Kac limit (when temperature goes to zero). Moreover we discuss some symmetry properties of the quantum action.

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