Symmetry-Projected Hartree-Fock-Bogoliubov Equations
Nuclear Theory
2009-10-31 v1
Abstract
Symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations are derived using the variational ansatz for the generalized one-body density-matrix in the Valatin form. It is shown that the projected-energy functional can be completely expressed in terms of the HFB density-matrix and the pairing-tensor. The variation of this projected-energy is shown to result in HFB equations with modified expressions for the pairing-potential and the Hartree-Fock field. The expressions for these quantities are explicitly derived for the case of particle number-projection. The numerical applicability of this projection method is studied in an exactly soluble model of a deformed single-j shell.
Keywords
Cite
@article{arxiv.nucl-th/9907065,
title = {Symmetry-Projected Hartree-Fock-Bogoliubov Equations},
author = {Javid A. Sheikh and Peter Ring},
journal= {arXiv preprint arXiv:nucl-th/9907065},
year = {2009}
}
Comments
24 pages, 1 figure