标题： Fokker-Planck方程的近似解 显示英文标题

标题： Approximate solution for Fokker-Planck equation

摘要： 在本文中，提出了一种特定类别的福克-普朗克方程的近似解。 该解基于具有部分限制和对称势的薛定谔型方程之间的关系。 为了估计解的准确性，建议从原始福克-普朗克方程得到一个误差函数。 使用所提出的方法分析了两个示例，一个是截断的谐波势，另一个是非谐波多项式。 对于截断的谐波势，还讨论了系统行为作为温度的函数。 显示英文摘要

摘要： In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schr\"{o}dinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.