Solving the Richardson equations close to the critical points
Mathematical Physics
2008-11-26 v1 Superconductivity
math.MP
Exactly Solvable and Integrable Systems
Nuclear Theory
Abstract
We study the Richardson equations close to the critical values of the paring strength g_c where the occurrence of divergencies preclude numerical solutions. We derive a set of equations for determining the critical g values and the non-collapsing pair energies. Studying the behavior of the solutions close to the critical points, we develop a procedure to solve numerically the Richardson equations for arbitrary coupling strength.
Cite
@article{arxiv.math-ph/0609022,
title = {Solving the Richardson equations close to the critical points},
author = {F. Dominguez and C. Esebbag and J. Dukelsky},
journal= {arXiv preprint arXiv:math-ph/0609022},
year = {2008}
}
Comments
10 pages, 2 figures