Closed Path Integrals and Renormalisation in Quantum Mechanics
classification
✦ hep-th
quant-ph
keywords
quantumactionclosedpathrenormalizedamplitudeschaosexpression
read the original 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.
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