English

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

High Energy Physics - Theory 2010-03-17 v2

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.

Keywords

Cite

@article{arxiv.0910.3474,
  title  = {Higher order first integrals of motion in a gauge covariant Hamiltonian framework},
  author = {Mihai Visinescu},
  journal= {arXiv preprint arXiv:0910.3474},
  year   = {2010}
}

Comments

13 pages, references added, accepted for publication in MPLA