J. Phys. IV France 09 (1999) Pr6-65-Pr6-69
The momentum representation of the two-body Coulomb Green's function in n-dimensional spaceV.L. Shablov1, V.A. Bilyk1 and Yu.V. Popov2
1 Obninsk Institute of Nuclear Power Engineering, Obninsk 249020, Russia
2 Nuclear Physics Institute, Moscow State University, Moscow 119899, Russia
The explicit expression for the two-body n-dimensional Coulomb Green's function is presented in the Schwinger's integral form. The structure of its singularities is found to be independent on n. This fact leads to the Peterkop's theory of effective charges as well as to the new method of removing three-body Coulomb singularities. The bound states problem for the n-dimensional Coulomb potential is investigated too.
© EDP Sciences 1999