Skip to Main content Skip to Navigation
Book sections

Existence and Born-Oppenheimer asymptotics of the total scattering cross-section in ion-atom collisions.

Abstract : We prove the finitness of the total scattering cross-section for ion-atom collisions with an initial channel given by a simple eigenvalue of the internal Hamiltonian describing the neutral cluster, i.e. the atom. Under more restrictive assumptions, we show that some effective interaction in the Born-Oppenheimer approximation is precisely of order O(|x|^{-4}) in the distance between the mass centers of the two clusters. We then extract the leading term of the scattering cross-section in the Born-Oppenheimer limit. Paper published in: "Long time behaviour of classical and quantum systems", proceedings of the Bologna AP-TEX international conference, sept. 1999, edité par A. Martinez et S. Graffi.
Document type :
Book sections
Complete list of metadata

https://hal-cnrs.archives-ouvertes.fr/hal-03213428
Contributor : Thierry Jecko <>
Submitted on : Friday, April 30, 2021 - 1:36:42 PM
Last modification on : Tuesday, May 4, 2021 - 3:16:33 AM

File

jkw.pdf
Files produced by the author(s)

Identifiers

Citation

Thierry Jecko, Markus Klein, Xue Ping Wang. Existence and Born-Oppenheimer asymptotics of the total scattering cross-section in ion-atom collisions.. Long Time Behaviour of Classical and Quantum Systems: Proceedings of the Bologna Aptex International Conference, Bologna, Italy 13-17 September 1999, 2001, Series on Concrete and Applicable Mathematics, ⟨10.1142/4640⟩. ⟨hal-03213428⟩

Share

Metrics

Record views

17

Files downloads

22