Lagrangian dynamics for classical, Brownian, and quantum mechanical particles

DOI10.1063/1.531570zbMath0876.70015OpenAlexW2103847043MaRDI QIDQ5284793

Michele Pavon

Publication date: 2 December 1997

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

Full work available at URL: https://doi.org/10.1063/1.531570

zbMATH Keywords

equations of motionNelson's stochastic mechanicscritical processstochastic Newton lawcanonical-like equationsfirst form of Hamilton's principlemomentum process

Mathematics Subject Classification ID

Brownian motion (60J65) Quantum equilibrium statistical mechanics (general) (82B10) Hamilton's principle (70H25) Lagrange's equations (70H03)

Related Items (4)

Analytic continuation of stochastic mechanics ⋮ Derivation and application of quantum Hamilton equations of motion ⋮ Stochastic mechanics and the Feynman integral ⋮ Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics

Cites Work

• Conservative diffusions
• Convergence of Nelson diffusions
• Critical Ornstein-Uhlenbeck processes
• Equilibrium description of a particle system in a heat bath
• Hamilton’s principle in stochastic mechanics
• Stochastic calculus of variations

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