A General Solution of the Fokker-Planck Equation
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Data
2012-02-01
Autores
Araujo, M. T. [UNESP]
Drigo Filho, Elso [UNESP]
Título da Revista
ISSN da Revista
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Editor
Springer
Resumo
The Fokker-Planck equation is useful to describe stochastic processes. Depending on the force acting in the system, the solution of this equation becomes complicated and approximate or numerical solutions are needed. The relation with the Schrodinger equation allows building a method to obtain solutions of the Fokker-Planck equation. However, this approach has been limited to the study of confined potentials, restricting its applicability. In this work, we suggest a general treatment for non-confining potentials through the use of series of functions based on the solution of the Schrodinger equation, with part of discrete spectrum and part of continuum spectrum. Two examples, the Rosen-Morse potential and a limited harmonic potential, are analyzed using the suggested approach.
Descrição
Palavras-chave
Fokker-Planck equation, Schrödinger equation, Rosen-Morse potential, Limited Harmonic Oscillator
Como citar
Journal of Statistical Physics. New York: Springer, v. 146, n. 3, p. 610-619, 2012.