title: Closed path integrals and the quantum action.
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.
authors.affiliation: Départment of Physique, Université Laval, Québec, Québec, Canada.
authors.forename: H
authors.initials: H
authors.lastname: Jirari
authors.forename: H
authors.initials: H
authors.lastname: Kröger
authors.forename: X Q
authors.initials: XQ
authors.lastname: Luo
authors.forename: K J
authors.initials: KJ
authors.lastname: Moriarty
authors.forename: S G
authors.initials: SG
authors.lastname: Rubin