Exact solutions of the Fokker–Planck equation from an nth order supersymmetric quantum mechanics approach

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

doi:10.1016/j.physleta.2009.03.005

Exact solutions of the Fokker–Planck equation from an nth order supersymmetric quantum mechanics approach

Axel Schulze-Halberg, Jesús Morales Rivas + Show 3 more

https://doi.org/10.1016/j.physleta.2009.03.005

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Journal: Physics Letters A	Publication Date: Mar 13, 2009
Citations: 9

Affiliation: Universidad Autónoma Metropolitana

#Drift Potentials #Drift Potential + Show 8 more

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Abstract

We generalize the formalism of nth order Supersymmetric Quantum Mechanics ( n-SUSY) to the Fokker–Planck equation for constant diffusion coefficient and stationary drift potential. The SUSY partner drift potentials and the corresponding solutions of the Fokker–Planck equation are given explicitly. As an application, we generate new solutions of the Fokker–Planck equation by means of our first- and second-order transformation.

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