Hamilton-Jacobi and Fokker-Planck equations for the harmonic oscillator

DOI10.1016/j.physa.2014.05.064zbMath1395.81137OpenAlexW1997556503MaRDI QIDQ1783010

Emilio Cortés, José Inés Jiménez-Aquino

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.05.064

zbMATH Keywords

Hamilton-Jacobi equationFokker-Planck equationcharged Brownian harmonic oscillatorFeynman's path integral formalismordinary Brownian harmonic oscillator

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Groups and algebras in quantum theory and relations with integrable systems (81R12) Stochastic quantization (81S20) Fokker-Planck equations (35Q84)

Related Items (1)

Hamilton-Jacobi and Fokker-Planck equations for the harmonic oscillator in the inertial regime

Cites Work

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• Path integral representation for fractional Brownian motion
• Work-fluctuation theorems for a particle in an electromagnetic field
• Path integral approach to fractional Lévy motion
• Stochastic Problems in Physics and Astronomy

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