arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1209.2935physics.chem-ph
收藏

利用张量超收缩密度拟合实现O(L^4)CISD算法

Using tensor hypercontraction density fitting to achieve an O(L^4) CISD algorithm

Neil Shenvi, Helen Van Aggelen, Weitao Yang

摘要:

最近,Hohenstein等人[1]引入了张量超收缩密度拟合,将秩为4的电子排斥积分张量分解为5个秩为2的张量的乘积。在本文中,我们使用这种方法来构建一个算法,计算近似的基态能量在O(L^4)操作。我们测试我们的方法使用几个小分子,并表明,我们很快接近CISD限制与少量的辅助功能。

英文摘要:

Recently, Hohenstein et al[1] introduced tensor hypercontraction density fitting to decompose the rank-4 electron repulsion integral tensor as the product of five rank-2 tensors. In this paper, we use this methodology to construct an algorithm which calculates the approximate ground state energy in O(L^4) operations. We test our method using several small molecules and show that we quickly approach the CISD limit with a small number of auxiliary functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑