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Article Dans Une Revue The European Physical Journal D : Atomic, molecular, optical and plasma physics Année : 2019

Improved Effective Range Expansion for Casimir-Polder potential

Romain Guérout
Serge Reynaud

Résumé

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/z^4 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.

Dates et versions

hal-02110416 , version 1 (25-04-2019)

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Pierre-Philippe Crépin, Romain Guérout, Serge Reynaud. Improved Effective Range Expansion for Casimir-Polder potential. The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2019, 73, pp.256. ⟨10.1140/epjd/e2019-100196-2⟩. ⟨hal-02110416⟩
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