Higher order first integrals of motion in a gauge covariant Hamiltonian framework

Understand

The higher order symmetries are investigated in a covariant Hamiltonian formulation.

• The covariant phase-space approach is extended to include the presence of external gauge fields and scalar potentials.
• The special role of the Killing-Yano tensors is pointed out.
• Some non-trivial examples involving Runge-Lenz type conserved quantities are explicitly worked out.