Exact solutions of the Fokker-Planck equation from an \(n\)th order supersymmetric quantum mechanics approach

DOI10.1016/j.physleta.2009.03.005zbMath1229.81118OpenAlexW2084531415MaRDI QIDQ653072

José Juan Peña Gil, Jesús Morales Rivas, Jesús García-Ravelo, Axel Schulze-Halberg, Pinaki Roy

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.005

zbMATH Keywords

Schrödinger equationPlanck equationFokker\(n\)th order supersymmetric quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

Supersymmetric quantum mechanics method for the Fokker-Planck equation with applications to protein folding dynamics ⋮ The generalized zero-mode supersymmetry scheme and the confluent algorithm ⋮ Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations ⋮ Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix

Cites Work

• Unnamed Item
• Exact solutions of a Fokker-Planck equation.
• Exact solutions of Fokker-Planck equations associated to quantum wave functions
• Supersymmetry and Fokker-Planck dynamics in periodic potentials
• Comment on ‘Generalization of the Darboux transformation and generalized harmonic oscillators’
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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