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arXiv · 0910.3474

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

Mihai Visinescu
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Abstract

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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Mihai Visinescu. 2009-12-07. Higher order first integrals of motion in a gauge covariant Hamiltonian framework. https://doi.org/10.1142/s0217732310032500

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