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

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

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. A...

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Veröffentlicht in:Physics letters. A 2009-04, Vol.373 (18), p.1610-1615
Hauptverfasser: Schulze-Halberg, Axel, Rivas, Jesús Morales, Peña Gil, José Juan, García-Ravelo, Jesús, Roy, Pinaki
Format: Artikel
Sprache:eng
Schlagworte:
Fokker–Planck equation
Nth order supersymmetric quantum mechanics
Schrödinger equation
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Zusammenfassung: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.03.005