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.
 Publication:

Physical Review Letters
 Pub Date:
 January 2001
 DOI:
 10.1103/PhysRevLett.86.187
 arXiv:
 arXiv:hepth/9910141
 Bibcode:
 2001PhRvL..86..187J
 Keywords:

 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 Revised text, 1 figure added