A Quantum Model of Feshbach Resonances
Mathematical Physics
2019-10-01 v1 Quantum Gases
math.MP
Abstract
We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small inter-channel coupling, and in the non-perturbative one. We provide an expansion of the effective scattering length near the resonances, via a detailed study of an effective Lippmann-Schwinger equation with energy-dependent potential.
Keywords
Cite
@article{arxiv.1901.08282,
title = {A Quantum Model of Feshbach Resonances},
author = {R. Carlone and M. Correggi and D. Finco and A. Teta},
journal= {arXiv preprint arXiv:1901.08282},
year = {2019}
}
Comments
29 pages, pdfLaTex