Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256151 | Journal of Geometry and Physics | 2016 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Rogelio Jante, Bernd J. Schroers,