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arXiv · 1507.08165

Taub-NUT Dynamics with a Magnetic Field

Rogelio Jante·Bernd J Schroers
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Abstract

We study classical and quantum dynamics on the Euclidean Taub-NUT geometry coupled to an abelian gauge field with self-dual curvature and show that, even though Taub-NUT has neither bounded orbits nor quantum bound states, the magnetic binding via the gauge field produces both. The conserved Runge-Lenz vector of Taub-NUT dynamics survives, in a modified form, in the gauged model and allows for an essentially algebraic computation of classical trajectories and energies of quantum bound states. We also compute scattering cross sections and find a surprising electric-magnetic duality. Finally, we exhibit the dynamical symmetry behind the conserved Runge-Lenz and angular momentum vectors in terms of a twistorial formulation of phase space.

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Rogelio Jante, Bernd J Schroers. 2015-07-29. Taub-NUT Dynamics with a Magnetic Field. https://doi.org/10.1016/j.geomphys.2016.02.016

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