Quasi Sturmian basis functions in hyperspherical coordinates

29th International Conference on Photonic, Electronic, and Atomic Collisions

Punta, J.A. Del^1,2,3 ; Gasaneo, G.^2 ; Granados-Castro, Q.C.M.^1 ; Ancarani, L.U.^1

Equipe TMS, SRSMC, UMR CNRS 7565, Université de Lorraine, Metz

57078, France^1

Departamento de Física, Universidad Nacional Del sur - IFIsur, Bahía Blanca

8000, Argentina^2

Departamento de Matemática, Universidad Nacional Del sur, Bahía Blanca

8000, Argentina^3

关键词: Basis functions;    Closed form;    Hyperspherical coordinates;    Scattering problems;    Sturmian;    Sturmian functions;    Three body;    Time independents;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/635/8/082005/pdf
DOI  :  10.1088/1742-6596/635/8/082005

来源: IOP

【 摘 要 】

Quasi-Sturmian functions are an alternative set of basis functions useful to describe time-independent three body scattering problems. Their analytical closed form, for the Coulomb case, and some of their properties are presented here in hyperspherical coordinates.