The momentum representation of the two-body Coulomb Green's function in n-dimensional space

Authors
Shablov, VL Bilyk, VA Popov, YV
Citation
Vl. Shablov et al., The momentum representation of the two-body Coulomb Green's function in n-dimensional space, J PHYS IV, 9(P6), 1999, pp. 65-69
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL DE PHYSIQUE IV
ISSN journal
11554339 → ACNP
Volume
9
Issue
P6
Year of publication
1999
Pages
65 - 69
Database
ISI
SICI code
1155-4339(199906)9:P6<65:TMROTT>2.0.ZU;2-3
Abstract
The explicit expression for the two-body n-dimensional Coulomb Green's func tion is presented in the Schwinger's integral form. The structure of its si ngularities is found to be independent on n. This fact leads to the Peterko p's theory of effective charges as well as to the new method of removing th ree-body Coulomb singularities. The bound states problem for the n-dimensio nal Coulomb potential is investigated too.