1999/10/31 by H. Jirari, H. Kröger, X. Q. Luo +4 · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical mechanics #Effective action #Instanton #Mathematics #Path integral formulation #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum chaos #Quantum dissipation #Quantum dynamics #Quantum mechanics #Quantum process #Quartic function #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.86.187
published as Phys.Rev.Lett. 86 (2001) 187-191 · Revised text, 1 figure added; Text (LaTeX file), 1 Figure (ps file)
arxiv created 2000/04/13 · openalex publication_date 2001/01/08 · arxiv updated 2016/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.