Analytical Solutions of the Fokker–Planck Equation for Generalized Morse and Hulthén Potentials

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• 作者：R. C. Anjos ; G. B. Freitas ; C. H. Coimbra-Araújo
• 关键词：Schröndiger equation ; Fokker–Planck equation ; Generalized Morse potential ; Hulthén potential
• 刊名：Journal of Statistical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：162
• 期：2
• 页码：387-396
• 全文大小：564 KB
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• 作者单位：R. C. Anjos (1)
  G. B. Freitas (2)
  C. H. Coimbra-Araújo (1)
  
  1. Departamento de Engenharias e Exatas, Universidade Federal do Paraná, Setor Palotina, Palotina, Brazil
  2. Universidade Estadual Paulista, Campus de Botucatu, Botucatu, Brazil
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Statistical Physics
  Mathematical and Computational Physics
  Physical Chemistry
  Quantum Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9613

文摘

In the present contribution we analytically calculate solutions of the transition probability of the Fokker–Planck equation (FPE) for both the generalized Morse potential and the Hulthén potential. The method is based on the formal analogy of the FPE with the Schrödinger equation using techniques from supersymmetric quantum mechanics. Keywords Schröndiger equation Fokker–Planck equation Generalized Morse potential Hulthén potential