研究量子耗散配分函数的变分数值方法

计算物理 ›› 1997, Vol. 14 ›› Issue (2): 195-201.

研究量子耗散配分函数的变分数值方法

陆则慰¹, 李秀玲², 包景东²

1. 国家自然科学基金委员会地球科学部, 北京 100083;
2. 北京气象学院基础科学系, 北京 100081

收稿日期:1996-01-24 修回日期:1996-12-27 出版日期:1997-03-25 发布日期:1997-03-25

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

Lu Zewei¹, Li Xiuling², Bao Jingdong²

1. Department of Earth Sciences, NSFC, Beijing 100083, China;
2. Beijing Institute of Meteorology, Beijing 100081, China

Received:1996-01-24 Revised:1996-12-27 Online:1997-03-25 Published:1997-03-25

摘要/Abstract

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。

关键词: 变分路径积分, 量子耗散系统, 配分函数

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.

Key words: Variational path-integral, Quantual dissipative system, Partition function

中图分类号:

O411
O316

陆则慰, 李秀玲, 包景东. 研究量子耗散配分函数的变分数值方法[J]. 计算物理, 1997, 14(2): 195-201.

Lu Zewei, Li Xiuling, Bao Jingdong. A NUMERICAL APPROACH TO STUDY THE PARTITION FUNCTION OF QUANTUM DISSIPATIVE SYSTEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(2): 195-201.

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