Langevin方程的有效性
The Valididy of the Langevin Equation
摘要：
朗之万方程（经典和量子）的有效性研究的情况下，不是所有的运动方程是线性的。特别是，模型中的相互作用是双线性的环境变量进行了研究。我们的结论是，该方程是有效的，只有频率接近系统的频率单独。如果系统本身的运动方程是非线性的，我们就无法找到朗之万方程成立的条件。
英文摘要：
The validity of the Langevin equation (both classical and quantum) is studied in cases when not all the equations of motion are linear. In particular, a model is studied in which the interaction is bilinear in the environment variables. We conclude that the equation is valid only for frequencies close to the frequency of the system alone. If the equation of motion of the system alone is nonlinear, we are unable to find a condition for the validity of the Langevin equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
