Closed Path Integrals and Renormalisation in Quantum Mechanics

Abstract

We suggest a closed form expression for the path integral of quantum transition amplitudes. We introduce a quantum action with renormalized parameters. We present numerical results for the $V\sim x^4$ potential. The renormalized action is relevant for quantum chaos and quantum instantons.

Revised text, 1 figure added; Text (LaTeX file), 1 Figure (ps file)

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