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The complete symmetry group of a forced harmonic oscillator

Published online by Cambridge University Press:  17 February 2009

P. G. L. Leach
P. G. L. Leach
Affiliation:
Department of Applied Mathematics, La Trobe University Bundoora, 3083 Australia
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Abstract

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The complete symmetry group of a forced harmonic oscillator is shown to be Sl(3, R) in the one-dimensional case. Approaching the problem through the Hamiltonian invariants and the method of extended Lie groups, the method used is that of time-dependent point transformations. The result applies equally well to the forced repulsive oscillator and a particle moving under the influence of a coordinate-free force. The generalization to na-dimensional systems is discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 1 , July 1980 , pp. 12 - 21
Copyright
Copyright © Australian Mathematical Society 1980

References

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