用户指南蒙特卡罗方法评估路径积分

Marise J. E. Westbroek, P. King, D. Vvedensky, S. Durr
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引用次数: 13

摘要

本文以量子谐振子为例,介绍了点阵上路径积分的计算。除了提供明确的计算设置和相应的伪代码外,我们还特别注意自相关的存在性和可靠误差的计算。过度松弛技术是一种对抗强自相关的方法。仿真方法可以扩展到计算其他情况下路径积分的观测值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
User's guide to Monte Carlo methods for evaluating path integrals
We give an introduction to the calculation of path integrals on a lattice, with the quantum harmonic oscillator as an example. In addition to providing an explicit computational setup and corresponding pseudocode, we pay particular attention to the existence of autocorrelations and the calculation of reliable errors. The over-relaxation technique is presented as a way to counter strong autocorrelations. The simulation methods can be extended to compute observables for path integrals in other settings.
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