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Solving the Richardson equations close to the critical points

Authors
  • Dominguez, F.
  • Esebbag, C.
  • Dukelsky, J.
Type
Published Article
Publication Date
Sep 08, 2006
Submission Date
Sep 08, 2006
Identifiers
DOI: 10.1088/0305-4470/39/37/002
arXiv ID: math-ph/0609022
Source
arXiv
License
Unknown
External links

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.

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