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

Neil Shenvi, Helen Van Aggelen, Weitao Yang
2012 arXiv   pre-print
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.
arXiv:1209.2935v1 fatcat:o4ivmyjmhvcrbjwuhg7sol3xpa