Approximate Series Solutions of Nonseparable Schrödinger Equations. II. General Three-Particle System with Coulomb Interaction
- 15 July 1964
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 41 (2) , 482-489
- https://doi.org/10.1063/1.1725894
Abstract
The series solution method developed by Pekeris for the Schrödinger wave equation of two‐electron atoms has been generalized to handle any three particles with Coulomb interaction. Calculations have been carried out with wavefunctions through the sixth degree which result in a linear combination of 84 terms for the unsymmetrical case. Systems for which numerical results are given are: the hydride ion with nuclear motion, the trielectron (e+e—e—) or positronium ion, the positron—hydrogen atom interaction (e+e—p+), and the mu‐mesonic isotopic hydrogen molecule‐ion (p+μ—d+).Keywords
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