Lagrangian variational principle in stochastic mechanics: Gauge structure and stability

DOI10.1063/1.528452zbMath0694.70003OpenAlexW2013673062MaRDI QIDQ3470126

Laura M. Morato, Maria I. Loffredo

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528452

zbMATH Keywords

stochastic mechanicsirrotational velocity fieldsLagrangian variational principleMadelung's fluid equations

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Lagrange's equations (70H03) Foundations of fluid mechanics (76A02) Axiomatics, foundations (70A05)

Related Items (8)

Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ Approximate solutions to the quantum drift-diffusion model of semiconductors ⋮ Convergence of Nelson diffusions with time-dependent electromagnetic potentials ⋮ A connection between quantum dynamics and approximation of Markov diffusions ⋮ Stochastic quantization of finite dimensional systems with electromagnetic interactions ⋮ The Lagrangian approach to stochastic variational principles on curved manifolds ⋮ Unnamed Item ⋮ Eulerian versus Lagrangian variational principles in stochastic mechanics

Cites Work

• Conservative diffusions
• Time reversal of diffusions
• Diffusion processes with singular drift fields
• The logic of quantum mechanics

This page was built for publication: Lagrangian variational principle in stochastic mechanics: Gauge structure and stability