Generalization of Cramer's rule and its application to the projection of Hartree-Fock wave function
Mathematical Physics
2009-09-02 v1 math.MP
Nuclear Theory
Abstract
We generalize the Cramer's rule of linear algebra. We apply it to calculate the spectra of nucleus by applying Hill-Wheeler projection operator to Hartree-Fock wave function, and to derive L\"owdin formula and Thouless theorem. We derive by an elementary method the infinitesimal or L\"owdin projection operators and its integral representation to be useful for the projection of Slater determinant.
Keywords
Cite
@article{arxiv.0909.0129,
title = {Generalization of Cramer's rule and its application to the projection of Hartree-Fock wave function},
author = {Mehdi Hage-Hassan},
journal= {arXiv preprint arXiv:0909.0129},
year = {2009}
}