TY - JOUR
T1 - Exact solutions of the Fokker-Planck equation from an nth order supersymmetric quantum mechanics approach
AU - Schulze-Halberg, Axel
AU - Rivas, Jesús Morales
AU - Peña Gil, José Juan
AU - García-Ravelo, Jesús
AU - Roy, Pinaki
N1 - Funding Information:
Two of us (J.G.-R., A.S.-H.) acknowledge financial support by the National Polytechnical Institute (grants COFAA and EDI), Mexico City. P.R. acknowledges hospitality and support by the Atomic and Molecular Physics group at the Autonomous Metropolitan University (campus Azcapotzalco) and by the Higher School of Physics and Mathematics at the National Polytechnical Institute, both Mexico City.
PY - 2009/4/20
Y1 - 2009/4/20
N2 - 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.
AB - 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.
KW - Fokker-Planck equation
KW - Nth order supersymmetric quantum mechanics
KW - Schrödinger equation
UR - http://www.scopus.com/inward/record.url?scp=63249083815&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2009.03.005
DO - 10.1016/j.physleta.2009.03.005
M3 - Artículo
SN - 0375-9601
VL - 373
SP - 1610
EP - 1615
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 18-19
ER -