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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
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