The momentum representation of the two-body Coulomb Green’s function in n-dimensional spaceстатья
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Аннотация: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.