A connection between quantum dynamics and approximation of Markov diffusions

DOI10.1063/1.530800zbMath0813.60075OpenAlexW1968520665MaRDI QIDQ4327190

Stefania Ugolini, Laura M. Morato

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530800

zbMATH Keywords

quantum dynamicsconvergence of diffusions in the Carlen classstochastic Lagrangian variational principletwo-dimensional Gaussian case

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

Stochastic quantization of finite dimensional systems with electromagnetic interactions ⋮ Eulerian versus Lagrangian variational principles in stochastic mechanics

Cites Work

• Conservative diffusions
• Convergence of Nelson diffusions
• The Lagrangian approach to stochastic variational principles on curved manifolds
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• Lagrangian variational principle in stochastic mechanics: Gauge structure and stability
• Convergence of Nelson diffusions with time-dependent electromagnetic potentials
• Stochastic calculus of variations

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