Expansion of the resolvent in a Feshbach model

Abstract

In this paper we extend the results proved in (Carlone, R., Correggi, M., Finco, D., Teta, A.: A model for Feshbach Resonances arXiv:1901.08282 [math-ph]) about Feshbach resonances in a multichannel Hamiltonian $\mathcal{H}$, proving a low energy expansion of the resolvent $(\mathcal{H}-k^2{)}^{-1}$ as $k\to 0$ in the resonant case.

References in corpus (2)

• Feshbach Resonances in Ultracold Gases
• Perturbations of eigenvalues embedded at threshold: one, two and three dimensional solvable models