English

Expansion of the resolvent in a Feshbach model

Mathematical Physics 2019-02-13 v2 math.MP

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 H\mathcal{H}, proving a low energy expansion of the resolvent (Hk2)1(\mathcal{H}-k^{2})^{-1} as k0k\to 0 in the resonant case.

Keywords

Cite

@article{arxiv.1902.03626,
  title  = {Expansion of the resolvent in a Feshbach model},
  author = {Raffaele Carlone and Domenico Finco},
  journal= {arXiv preprint arXiv:1902.03626},
  year   = {2019}
}