利用随机去耦合推演谐振子的传播子  

Evaluating Harmonic Oscillator Propagator with Stochastic Decoupling

作　　者：邵久书[1] Jiushu Shao(College of Chemistry and Center for Advanced Quantum Studies,Beijing Normal University,Beijing 100875,China)

机构地区：[1]北京师范大学化学学院,高等量子研究中心,北京100875

出　　处：《Chinese Journal of Chemical Physics》2024年第2期192-198,I0102,共8页化学物理学报（英文）

基　　金：This work is supported by the National Natural Science Foundation of China(No.22073009 and No.21421003).

摘　　要：本文采用随机去耦合方法,将谐振子的量子演化转化为虚拟的两部分,它们分别由随机产生算符和随机灭算符确定讨论了两种解析虚拟算符的手段,一种基于相干态表示,另一种则基于位置和动量分解后的动量表示:联合两个虚拟传播子并对涉及的噪声求统计评价就得到谐振子的量子传播子.整个过程的主要数学处理为求算高斯积分.By virtue of stochastic decoupling,the quantum evolution of a harmonic oscillator is converted into two virtual contributions dictated by either a stochastic creation operator or a stochastic annihilation operator.Two approaches are provided to resolve these virtual two evolution operators.One is based on the coherent-state representation and the other deals with the momentum representation after separating out the position and momentum factors.The quantum propagator of the harmonic oscillator is obtained by taking the random average of the combined virtual propagators.The main mathematical exercise of the whole procedure is the calculation of the Gaussian integral.

关 键 词：量子演化 传播子 谐振子 随机去耦合 

分 类 号：O41[理学—理论物理]