Original Articles

CONSERVATION LAWS FOR THE MONOPOLE OSCILLATOR PROBLEM

Published in: Quaestiones Mathematicae
Volume 20 , issue 1 , 1997 , pages: 71–83

DOI: 10.1080/16073606.1997.9631855

Author(s): V.M. Gorringe Department of Mathematics and Applied Mathematics, South Africa , P. , G.L. Leach Department of Mathematics and Applied Mathematics, South Africa

Keywords: 70D05 , 58F07 , 34A30

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Abstract

The monopole oscillator problem is a subset of the more general system with equation of motion [ruml] + λr ^-3L + (μr ^-4 + ω²)r = 0 which possesses sl(2, R) ⊕ so(3) symmetry. All of the first integrals are computed from the symmetry generators.

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