Power series solution of coupled differential equations in one variable

M. Haftel*, R. Krivec, V. B. Mandelzweig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

A precise method for solving systems of coupled ordinary differential equations of second order in one variable is presented. The method consists mostly of algebraic manipulations and is very efficient on vector computers. The method is applied to the solution of the three-body Schrödinger equation. Besides giving, in contrast to variational methods, uniformly precise expectation values of operators including the Hamiltonian, the method allows one to study the analytic structure of the wave function. Applications to the He atom, the muonic helium atom, and the μdt molecular ion are presented. No extended precision intermediate calculations are required.

Original languageEnglish
Pages (from-to)149-161
Number of pages13
JournalJournal of Computational Physics
Volume123
Issue number1
DOIs
StatePublished - Jan 1996

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