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

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

2009-10-19

arxiv.org/abs/0910.3474v2

Mod.Phys.Lett. A25:341-350,2010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, references added, accepted for publication in MPLA

Scientific paper

10.1142/S0217732310032500

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.

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