Geodesic
Asymptotic expansions in the problem of three charged particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 348-358

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For tne problem of motion of two electrons in the field of fixed nucleus, the solutions of the Schrodinger equation as well as of the Newton equations of motion are obtained in the form of an asymptotic series which is valid at large distances between the particles. The solutions with the asymptotics of the plane wave type and asymptotic expansions for total angular momentum $L=Q$ are investigated. Formulas which determine the asymptotic form of the solution in the general case are obtained. 
@article{TMF_1977_31_3_a7,
     author = {R. K. Peterkop and L. L. Rabik},
     title = {Asymptotic expansions in the problem of three charged particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {348--358},
     publisher = {mathdoc},
     volume = {31},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a7/}
}
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R. K. Peterkop; L. L. Rabik. Asymptotic expansions in the problem of three charged particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 348-358. http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a7/