Geodesic
Trace formula for Schrödinger operator with Coulomb potential in three-dimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 104-114 
A. A. Kvitsinskiy. Trace formula for Schrödinger operator with Coulomb potential in three-dimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 104-114. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a7/
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     author = {A. A. Kvitsinskiy},
     title = {Trace formula for {Schr\"odinger} operator with {Coulomb} potential in three-dimensional space},
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     pages = {104--114},
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     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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