Small Matrix Decomposition of Feynman Path Amplitudes
Small Matrix Decomposition of Feynman Path Amplitudes
复制标题
费曼路径振幅的小矩阵分解
DOI：
10.1021/acs.jctc.1c00339
复制
发表时间：
2021
影响因子：
5.5
通讯作者：
Makri, Nancy
中科院分区：
文献类型：
--
作者：
Makri, Nancy
路径积分的小矩阵分解（SMatPI）设计的路径积分公式的量子力学振幅的前向-后向路径的表达式。的振幅表示为一个小矩阵产品，其大小等于系统的约化密度矩阵的总和，允许治疗的复合系统组成的相互作用的子单元没有大的存储要求的全振幅张量。具有代表性的应用上的四自旋系统的拓扑结构的基本树枝状大分子块。
The small matrix decomposition of the path integral (SMatPI) is employed to devise expressions for the quantum mechanical amplitude of forward–backward paths in the path integral formulation. The amplitude is expressed as a sum of small matrix products, whose size is equal to that of the system’s reduced density matrix, allowing the treatment of composite systems consisting of interacting subunits without the large storage requirements of the full amplitude tensor. Representative applications on a four-spin system with the topology of the basic dendrimer block are presented.