研究量子耗散配分函数的变分数值方法

A NUMERICAL APPROACH TO STUDY THE PARTITION FUNCTION OF QUANTUM DISSIPATIVE SYSTEM

  • 摘要: 提出用变分路径积分方法计算量子耗散系统的配分函数。将势能和耦合函数分别写成谐振子势(圆频率Ω2(x0))和线性函数(斜率μ(x0))与剩余项之和,其中所引入的两个试探函数Ω2(x0)和μ(x0)由有效势取极小值的条件所确定。则最终的配分函数为一个高斯密度函数下的平均值。并将本算法与蒙特卡罗方法进行了比较。

     

    Abstract: A variational path integral method is presented to calculate the partition function of a quantual dissipative system. Two trial functions for the frequency function of the potential and the slope function of the coupling from factor are determined by minimizing of the effective potential. Thus the final partition function becomes an average value under a Gaussion distribution function. Compared with Monte Carlo method, the results calculated by the variational path integral are more accurate in a wide range of temperature.

     

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