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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1977 Volume 31, Number 3, Pages 348–358 (Mi tmf3035)

This article is cited in 4 papers

Asymptotic expansions in the problem of three charged particles

R. K. Peterkop, L. L. Rabik


Abstract: 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.

Received: 24.09.1976


 English version:
Theoretical and Mathematical Physics, 1977, 31:3, 502–510

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© Steklov Math. Inst. of RAS, 2024