Canonical stochastic dynamical systems

DOI10.1063/1.527747zbMath0635.60064OpenAlexW2090618396MaRDI QIDQ3774665

Kunio Yasue, Tetsuya Misawa

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527747

zbMATH Keywords

generating functionPoisson bracketstochastic calculus of variationsstochastic dynamical systemsNelson's stochastic mechanicsstochastic least action principle

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (5)

Stochastic lengths ⋮ Stochastic embedding of dynamical systems ⋮ Generalization of uncertainty relation for quantum and stochastic systems ⋮ Noether’s theorem in symmetric stochastic calculus of variations ⋮ The stochastisation hypothesis and the spacing of planetary systems

Cites Work

• A variational principle for the Navier-Stokes equation
• Stochastic dynamics: A review of stochastic calculus of variations
• Semi-classical quantum mechanics and stochastic calculus of variations
• Maupertuis’ principle of least action in stochastic calculus of variations
• Stochastic calculus of variations

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