Classical symmetries of monopole by group theoretic methods

2005/06/17 by Karmadeva Maharana, Maharana, Karmadeva
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0506046

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

arxiv created 2005/08/31 · arxiv updated 2009/12/01

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.

Related

• Symmetry analysis for a charged particle in a certain varying magnetic field
• On Lie point symmetry of classical Wess-Zumino-Witten model
• Noether symmetries for charged particle motion under a magnetic monopole and general electric fields
• Notes on symmetries in particle physics
• (Super)symmetries of semiclassical models in theoretical and condensed matter physics