Original Articles

CONSERVATION LAWS FOR THE MONOPOLE OSCILLATOR PROBLEM

Published in: Quaestiones Mathematicae
Volume 20 , issue 1, pages: 71–83
DOI: 10.1080/16073606.1997.9631855
Author(s): V.M. GorringeDepartment of Mathematics and Applied Mathematics, South Africa, P., G.L. LeachDepartment of Mathematics and Applied Mathematics, South Africa,
Keywords: 70D05, 58F07, 34A30,

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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