Semi-classical quantum mechanics and stochastic calculus of variations

DOI10.1016/0003-4916(82)90214-7zbMath0495.60099OpenAlexW2044628749MaRDI QIDQ1169765

Kunio Yasue, Jean-Claude Zambrini

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0003-4916(82)90214-7

zbMATH Keywords

stochastic calculus of variationsstochastic mechanicsquantum- mechanical paths

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20) Stochastic analysis (60H99)

Related Items

Symmetry of stochastic non-variational differential equations, An introduction to the semiclassical limit of Euclidean quantum mechanics, Dynamical Schrödinger bridge problems on graphs, Canonical stochastic dynamical systems, Stochastic embedding of dynamical systems, Stochastic Hamiltonian dynamical systems, Maupertuis’ principle of least action in stochastic calculus of variations, Stochastic complementary variational principles, A cinematic study of quantum kinematics

Cites Work

• Stochastic variational derivations of the Navier-Stokes equation
• Stochastic variational problems with constraints
• A path-probability representation for wavefunctions
• New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
• Feynman's path integral. Definition without limiting procedure
• Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation
• Coherent and Incoherent States of the Radiation Field
• On Convergence of Stochastic Processes
• Harmonic Oscillator Wave Functions
• Stochastic calculus of variations
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