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Hidden symmetries in a gauge covariant approach, Hamiltonian reduction and oxidation

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arxiv 1109.5449 v1 pith:3BCM22QS submitted 2011-09-26 hep-th

classification hep-th
keywords covariantgaugereductionsymmetrieshamiltonianhiddenprocedureanother
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Hidden symmetries in a covariant Hamiltonian formulation are investigated involving gauge covariant equations of motion. The special role of the Stackel-Killing tensors is pointed out. A reduction procedure is used to reduce the original phase space to another one in which the symmetries are divided out. The reverse of the reduction procedure is done by stages performing the unfolding of the gauge transformation followed by the Eisenhart lift in connection with scalar potentials.

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  1. Morse Bridge between Planar Kepler and Hyperbolic Landau Dynamics

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    The radial Kepler problem and sectors of the hyperbolic Landau problem are mapped to the Morse spectral problem, relating their bound spectra, resonances, and scattering data.

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