Stochastic interpretation of Feynman path integral
From MaRDI portal
Publication:4837131
DOI10.1063/1.530678zbMath0820.60098OpenAlexW2041793838MaRDI QIDQ4837131
Publication date: 4 July 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530678
Schrödinger equationstochastic Hamilton equationscorrelation functions of arbitrary observables in quantum mechanicsstochastic interpretation of Feynman's sum over trajectories
Related Items (max. 100)
Stochastic Schrödinger equation from an interaction with the environment ⋮ Feynman integral in regularized nonrelativistic quantum electrodynamics ⋮ Beyond complex Langevin equations: from simple examples to positive representation of Feynman path integrals directly in the Minkowski time ⋮ Environmental recording of the angular momentum in quantum mechanics ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field
Cites Work
- Conservative diffusions
- Malliavin calculus and Euclidean quantum mechanics. I: Functional calculus
- Ergodicity and eigenfunctions of the Laplacian
- Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques
- A path space picture for Feynman-Kac averages
- A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
- L\({}^ p\) estimates on iterated stochastic integrals
- Ergodic Theorem in Quantum Mechanics
- Integration in Functional Spaces and its Applications in Quantum Physics
- A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
- Semi-classical mechanics in phase space: A study of Wigner’s function
- The Feynman integrand as a Hida distribution
- A remark on the connection between stochastic mechanics and the heat equation
- On the Quantum Correction For Thermodynamic Equilibrium
- Feynman Integrals and the Schrödinger Equation
- Space-Time Approach to Non-Relativistic Quantum Mechanics
This page was built for publication: Stochastic interpretation of Feynman path integral