Linear-scaling computation of excited states in time-domain

The applicability of quantum mechanical methods is severely limited by their poor scaling.To circumvent the problem,linearscaling methods for quantum mechanical calculations had been developed.The physical basis of linear-scaling methods is the locality in quantum mechanics where the properties or observables of a system are weakly influenced by factors spatially far apart.Besides the substantial efforts spent on devising linear-scaling methods for ground state,there is also a growing interest in the development of linear-scaling methods for excited states.This review gives an overview of linear-scaling approaches for excited states solved in real time-domain.

一种对大体系局部进行高精度量子化学计算的新方法

提出一种可以对大体系的局部区域进行高精度量子化学计算的新方法 .将体系划分为活性区和环境区 ,采用比较粗略的算法获得大体系的密度矩阵 ,通过基组的变换将密度矩阵分解为对应于活性区与环境区的子矩阵的直和 ,活性区和环境区分别拥有整数个电子 ,成为相对独立的化学键饱和的子体系 .然后冻结环境区密度矩阵 ,同时考虑环境区在活性区所产生势场的作用 ,对活性区进行高精度的量子化学计算 .对一些分子进行计算 ,得到的电荷分布、键长、键断裂能、电离势与电负性等与对大体系整体进行高精度计算得到的结果相当一致 ,而计算量减少很多 ,表明提出的方法可行 。