English

Cumulant-based calculations of the correlation energy in a molecule

Strongly Correlated Electrons 2021-09-01 v1

Abstract

The problem of constructing a guaranteed convergent sequence of corrections to the Hartree--Fock ground state energy of a molecule without storing the many-electron wave function is considered. Several methods based on cumulants are considered and it is shown that such a sequence is obtained by Lanczos tridiagonalization, in which the elements of the tridiagonal matrix are calculated through cumulants.

Keywords

Cite

@article{arxiv.2108.13786,
  title  = {Cumulant-based calculations of the correlation energy in a molecule},
  author = {A. K. Zhuravlev},
  journal= {arXiv preprint arXiv:2108.13786},
  year   = {2021}
}