Generalized Runge-Lenz Vector in Taub-Nut Spinning Space

Abstract

The generalized Killing equations and the symmetries of Taub-NUT spinning space are investigated. For spinless particles the Runge-Lenz vector defines a constant of motion directly, whereas for spinning particles it now requires a non-trivial contribution from spin. The generalized Runge-Lenz vector for spinning Taub-NUT space is completely evaluated.

9 pages

References in corpus (4)

• SUSY in the sky
• Symmetries and Motions in Manifolds
• The Geodesic Motion in Taub-Nut Spinning Space
• The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons

Cited by in corpus (14)

• The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
• Killing tensors and a new geometric duality
• Killing-Yano tensors and some applications
• Spinning particles in Taub-NUT space
• Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
• New exactly solvable systems with Fock symmetry
• Curved manifolds with conserved Runge-Lenz vectors
• The Dirac equation in Taub-NUT space
• Generalized Killing equations and Taub-NUT spinning space
• Runge-Lenz operator for Dirac field in Taub-NUT background
• Dirac operators on the Taub-NUT space, monopoles and SU(2) representations
• Monopole supersymmetries and the Biedenharn operator
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Generalized Killing equations for spinning spaces and the role of Killing-Yano tensors