Abstract
The Kepler Problem, described in the previous chapters, is a highly symmetric one, and it would seem, at first sight, impossible to change anything in the above constructions without destroying the beautiful machinery. It is thus somewhat surprising that adding the vector potential \(\vec{\alpha }\) of a Dirac magnetic monopole, such that \(\nabla \times \vec{\alpha } = \tfrac{{\vec{q}}}{{{{q}^{3}}}}\) plus arepulsive scalar potential decreasing as \(\tfrac{1}{{{{q}^{2}}}}\) does nevertheless preserve the SU(2, 2), or SO(2, 4), symmetry.
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© 2003 Springer Basel AG
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Cordani, B. (2003). Kepler Problem with Magnetic Monopole. In: The Kepler Problem. Progress in Mathematical Physics, vol 29. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8051-0_10
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DOI: https://doi.org/10.1007/978-3-0348-8051-0_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9421-0
Online ISBN: 978-3-0348-8051-0
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