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.
Citation:
R. K. Peterkop, L. L. Rabik, “Asymptotic expansions in the problem of three charged particles”, TMF, 31:3 (1977), 348–358; Theoret. and Math. Phys., 31:3 (1977), 502–510
\Bibitem{PetRab77}
\by R.~K.~Peterkop, L.~L.~Rabik
\paper Asymptotic expansions in the problem of three charged particles
\jour TMF
\yr 1977
\vol 31
\issue 3
\pages 348--358
\mathnet{http://mi.mathnet.ru/tmf3035}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462306}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 3
\pages 502--510
\crossref{https://doi.org/10.1007/BF01030568}
Linking options:
https://www.mathnet.ru/eng/tmf3035
https://www.mathnet.ru/eng/tmf/v31/i3/p348
This publication is cited in the following 4 articles:
Grigorenko V L. Parfenova Yu.L. Shulgina N.B. Zhukov V M., “Asymptotic Normalization Coefficient Method For Two-Proton Radiative Capture”, Phys. Lett. B, 811 (2020), 135852
Robin Shakeshaft, “Energy partitioning inS1-wave electron-impact ionization of atomic hydrogen”, Phys. Rev. A, 81:3 (2010)
M. Gailitis, (e, 2e) & Related Processes, 1993, 273
R. Peterkop, “General asymptotic form of wave function for system of charged particles”, Physics Letters A, 62:2 (1977), 81
Citation in format AMSBIB
Contact us: