# zbMATH — the first resource for mathematics

Trace formula for three-dimensional Schrödinger operators with Coulomb potential. (Russian. English summary) Zbl 0646.35018
The Schrödinger operator in $$R^ 3$$ with a potential which is equal to the sum of the Coulomb part and a fast decreasing part is considered. Trace formulas of zero order are found for this operator. These formulas connect the determinant of a regularized scattering operator at zero energy with the characteristics of the discrete spectrum.
##### MSC:
 35J10 Schrödinger operator, Schrödinger equation 35P25 Scattering theory for PDEs