Geometry of the Schrödinger equation and stochastic mass transportation

DOI10.1063/1.1998835zbMath1110.81033OpenAlexW2167155824MaRDI QIDQ3438544

Stephan Völlinger

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.1998835

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Cites Work

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• Malliavin calculus and Euclidean quantum mechanics. I: Functional calculus
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Mathematical and physical aspects of stochastic mechanics
• Diffusion processes with singular drift fields
• A characterization of random variables with minimum \(L^ 2\)-distance
• The geometry of optimal transportation
• Adiabatic perturbation theory in quantum dynamics
• Optimal control for absolutely continuous stochastic processes and the mass transportation problem
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Polar factorization and monotone rearrangement of vector‐valued functions
• A remark on the connection between stochastic mechanics and the heat equation
• Schrödinger equation from an exact uncertainty principle
• Stochastic calculus of variations

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