Improved effective range expansion for Casimir–Polder potential
Laboratoire Kastler Brossel (LKB), Sorbonne Université, CNRS, ENS-PSL Université, Collège de France, Campus Pierre et Marie Curie, 75252 Paris, France
Received in final form: 15 April 2019
Published online: 12 December 2019
We study the effective range expansion of scattering on a real Casimir–Polder potential. We use Liouville transformations which transform the potential landscape while preserving the reflection and transmission amplitudes. We decompose the scattering calculation in two more elementary problems, one for the homogeneous 1/z4 potential and the other one for the correction to this idealization. We use the symmetries of the transformed problem and the properties of the scattering matrices to derive an improved effective range expansion leading to a more accurate expansion of scattering amplitudes at low energy.
Key words: Atomic Physics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019