Power series solution of coupled equations and the three-body problem

V. B. Mandelzweig

doi:10.1016/0375-9601(80)90796-3

Power series solution of coupled equations and the three-body problem

V. B. Mandelzweig^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

Solutions of coupled equations are found in the form of a uniformly and absolutely convergent power series, whose coefficients satisfy simple recursion relations. Energy eigenvalues are shown to be roots of a secular equation. For demonstration, we solve exactly 36 coupled equations corresponding to hyperspherical harmonics with global momentum up to 20 in the three-body Coulomb problem.

Original language	English
Pages (from-to)	25-28
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(80)90796-3
State	Published - 1980

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Power series solution of coupled equations and the three-body problem

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