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Classical symmetries of monopole by group theoretic methods

Mathematical Physics 2007-05-23 v2 High Energy Physics - Theory math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0506046,
  title  = {Classical symmetries of monopole by group theoretic methods},
  author = {Karmadeva Maharana},
  journal= {arXiv preprint arXiv:math-ph/0506046},
  year   = {2007}
}

Comments

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

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