On the WKB approximation to the propagator for arbitrary Hamiltonians

DOI10.1063/1.524739zbMath0498.70024OpenAlexW2113906088WikidataQ124820767 ScholiaQ124820767MaRDI QIDQ3964059

Maurice M. Mizrahi

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0a8a9cd306f0fdb54a1ad9485b341f140a5ca3fa

zbMATH Keywords

propagatorWKB approximationoperator orderingvan Vleck-Morette expressionWiener-integrals

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Stochastic mechanics (including stochastic electrodynamics) (81P20) Pseudodifferential operators and other generalizations of partial differential operators (35S99) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

A quantum WKB approximation without classical trajectories, Derivation and application of extended parabolic wave theories. II. Path integral representations

Cites Work

• The semiclassical expansion
• The semiclassical expansion of the anharmonic-oscillator propagator
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles