Solving the Richardson equations for Fermions
Nuclear Theory
2009-11-10 v1 Superconductivity
Abstract
Forty years ago Richardson showed that the eigenstates of the pairing Hamiltonian with constant interaction strength can be calculated by solving a set of non-linear coupled equations. However, in the case of Fermions these equations lead to singularities which made them very hard to solve. This letter explains how these singularities can be avoided through a change of variables making the Fermionic pairing problem numerically solvable for arbitrary single particle energies and degeneracies.
Cite
@article{arxiv.nucl-th/0312070,
title = {Solving the Richardson equations for Fermions},
author = {Stefan Rombouts and Dimitri Van Neck and Jorge Dukelsky},
journal= {arXiv preprint arXiv:nucl-th/0312070},
year = {2009}
}
Comments
5 pages, 4 figures, submitted to Phys.Rev.C