Closed Path Integrals and Renormalisation in Quantum Mechanics

Details Closed Path Integrals and Renormalisation in Quantum Mechanics Closed Path Integrals and Renormalisation in Quantum Mechanics

1999-10-18

arxiv.org/abs/hep-th/9910141v2

Phys.Rev.Lett. 86 (2001) 187-191

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevLett.86.187

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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