On the Existence of the Quantum Action

Details On the Existence of the Quantum Action On the Existence of the Quantum Action

2001-06-15

arxiv.org/abs/quant-ph/0106087v2

Phys. Rev. A65(2002)052118

Physics

Quantum Physics

revised version, Text (LaTeX)

Scientific paper

10.1103/PhysRevA.65.052118

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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