Classical symmetries of monopole by group theoretic methods

Details Classical symmetries of monopole by group theoretic methods Classical symmetries of monopole by group theoretic methods

2005-06-17

arxiv.org/abs/math-ph/0506046v2

Physics

Mathematical Physics

LateX, 27 pages, references added, minor change in presentation

Scientific paper

We use group theoretic methods to obtain the extended Lie point symmetries of the equations of motion for a charged particle in the field of a monopole. Cases with certain model magnetic fields and potentials are also studied. Our analysis gives the generators and Lie algebras generating the inherent symmetries. The equations of motion of a scalar particle probing the near horizon structure of a black hole is also treated likewise. We have also found the generators of Krause's complete symmetry groups for some of the above examples.

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