Deformed Fokker-Planck Equations(Condensed Matter and Statistical Physics)

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概要

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• Based on the well-known relation between Fokker-Planck equations and Schrodinger equations of quantum mechanics (QM), we propose new deformed Fokker-Planck (FP) equations associated with the Schrodinger equations of "discrete" QM. The latter is a natural discretization of QM and its Schrodinger equations are difference instead of differential equations. Exactly solvable FP equations are obtained corresponding to exactly solvable "discrete" QM, whose eigenfunctions include various deformations of the classical orthogonal polynomials.

• 理論物理学刊行会の論文
• 2007-10-25

著者

• SASAKI Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

• Sasaki R

  Kyoto Univ. Kyoto Jpn

• Sasaki Ryu

  Yukawa Institute For Theoretical Physics Kyoto University

• HO Choon-Lin

  Department of Physics, Tamkang University

• Sasaki Ryu

  Max-planck-institute Fur Physik Und Astrophysik

• Ho Choon-lin

  Department Of Physics Tamkang University

• SASAKI Ryu

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham

• Sakaki Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

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