Partial averaging approach to Fourier coefficient path integration

Partial averaging approach to Fourier coefficient path integration
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傅立叶系数路径积分的部分平均方法

DOI:
10.1063/1.451778
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发表时间:
1986
影响因子:
4.4
通讯作者:
J. D. Doll
J. D. Doll
中科院分区:
化学2区
文献类型:
--
作者:
R. Coalson;D. Freeman;J. D. Doll

文献摘要

被引文献

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最近引入的部分平均法发展成为计算简单笛卡尔路径积分的一般形式。给出了它在谐波和非谐波系统中的应用实例。对于谐波系统,其中可以推导出分析结果,虚的和复杂的时间演化进行了讨论。针对两个典型的非谐系统,给出了虚时间传播子(统计密度矩阵)的蒙特卡罗路径积分模拟。与其他笛卡尔路径积分技术的连接强调。
The recently introduced method of partial averaging is developed into a general formalism for computing simple Cartesian path integrals. Examples of its application to both harmonic and anharmonic systems are given. For harmonic systems, where analytical results can be derived, both imaginary and complex time evolution is discussed. For two representative anharmonic systems, Monte Carlo path integral simulations of the imaginary time propagator (statistical density matrix) are presented. Connections with other Cartesian path integral techniques are stressed.