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Phys Rev Lett. 2001 Jan 08;86(2):187-91. doi: 10.1103/PhysRevLett.86.187.

Closed path integrals and the quantum action.

Physical review letters

H Jirari, H Kröger, X Q Luo, K J Moriarty, S G Rubin

Affiliations

  1. Départment of Physique, Université Laval, Québec, Québec, Canada.

PMID: 11177788 DOI: 10.1103/PhysRevLett.86.187

Abstract

We suggest a closed form expression for the path integral of quantum transition amplitudes. We introduce a quantum action with parameters different from the classical action. We present numerical results for the harmonic oscillator with weak perturbation, the quartic potential, and the double well potential. The quantum action is relevant for quantum chaos and quantum instantons.

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