HIGHER ORDER FIRST INTEGRALS OF MOTION IN A GAUGE COVARIANT HAMILTONIAN FRAMEWORK

DOI10.1142/S0217732310032500zbMath1189.70054arXiv0910.3474MaRDI QIDQ3570718

Mihai Visinescu

Publication date: 28 June 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3474

zbMATH Keywords

integral of motiongauge fieldKilling tensorRunge-Lenz vectorhidden symmetry

Mathematics Subject Classification ID

Hamilton's equations (70H05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items (5)

Integrable and superintegrable systems with higher order integrals of motion: master function formalism ⋮ Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors ⋮ HIDDEN SYMMETRIES IN A GAUGE-COVARIANT APPROACH, HAMILTONIAN REDUCTION AND OXIDATION

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