Geodesic
Trace formulas for charged particles in nonrelativistic quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 78-92

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The radial Sohrödinger operator for charged particles is studied. A series of identities is obtained, these being similar to the trace formulas for a Schrödinger operator with a rapidly decreasing potential. It is shown that the trace formula of zeroth order entails equality of the quantum defects of the discrete and the continuous spectra. 
@article{TMF_1972_11_1_a8,
     author = {D. R. Yafaev},
     title = {Trace formulas for charged particles in nonrelativistic quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {78--92},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a8/}
}
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D. R. Yafaev. Trace formulas for charged particles in nonrelativistic quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 78-92. http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a8/