This article is cited in 2 papers

Trace formula for Schrödinger operator with Coulomb potential in three-dimensional space

A. A. Kvitsinskiy


Abstract: The Schrodinger 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 zeroth 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.

Received: 24.07.1985

 English version: Theoretical and Mathematical Physics, 1987, 70:1, 72–79

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