The critical temperature for the BCS equation at weak coupling

Abstract

For the BCS equation with local two-body interaction $\lambda V(x)$, we give a rigorous analysis of the asymptotic behavior of the critical temperature as $\lambda \to 0$. We derive necessary and sufficient conditions on $V(x)$ for the existence of a non-trivial solution for all values of $\lambda >0$.

Revised Version. To appear in J. Geom. Anal

References in corpus (1)

• Many-Body Physics with Ultracold Gases