The Lagrangian approach to stochastic variational principles on curved manifolds

DOI10.1007/BF00047204zbMath0756.60097MaRDI QIDQ1199732

Daniela Dohrn, Ettore Aldrovandi, Francesco Guerra

Publication date: 16 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

variational principlesquantum mechanicsdiffusion processesstochastic differential systemsNelson stochastic mechanicsquantum Schrödinger equation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (8)

Convergence of Nelson diffusions with time-dependent electromagnetic potentials ⋮ Particle Spin Described by Quantum Hamilton Equations ⋮ A connection between quantum dynamics and approximation of Markov diffusions ⋮ Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle ⋮ Stochastic quantization of finite dimensional systems with electromagnetic interactions ⋮ Unnamed Item ⋮ Eulerian versus Lagrangian variational principles in stochastic mechanics ⋮ Statistical origin of quantum mechanics

Cites Work

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• Conservative diffusions
• Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics
• Lagrangian variational principle in stochastic mechanics: Gauge structure and stability
• Stochastic action of dynamical systems on curved manifolds. The geodesic interpolation

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