Generalization of Cramer's rule and its application to the projection of HartreeFock wave function
Abstract
We generalize the Cramer's rule of linear algebra. We apply it to calculate the spectra of nucleus by applying HillWheeler projection operator to HartreeFock wave function, and to derive Löwdin formula and Thouless theorem. We derive by an elementary method the infinitesimal or Löwdin projection operators and its integral representation to be useful for the projection of Slater determinant.
 Publication:

arXiv eprints
 Pub Date:
 September 2009
 DOI:
 10.48550/arXiv.0909.0129
 arXiv:
 arXiv:0909.0129
 Bibcode:
 2009arXiv0909.0129H
 Keywords:

 Mathematical Physics;
 Nuclear Theory