Details

Autor(en) / Beteiligte

• Grama, N.
• Grama, C.
• Zamfirescu, I.

Titel

A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential

Ist Teil von

• Europhysics letters, 2015-09, Vol.111 (6), p.60004

Ort / Verlag

Les Ulis: EDP Sciences, IOP Publishing and Società Italiana di Fisica

Erscheinungsjahr

2015

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential is obtained. It is based on a new Ansatz of the form of the solution that uses an etalon function generated by the problem itself, rather than a special function. First the 3D WKB approximation of the scattering wave function for the non-central Coulomb-like potential is obtained. This approximation is valid on the whole range of the variables, except for the caustics. The uniform approximation eliminates the shortcoming of the 3D WKB approximation, being valid on the whole range of the variables, including the caustics. The scattering amplitude for the non-central Coulomb-like potential is obtained.