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Lobachevsky geometry in TTW and PW systems

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arxiv 1512.07489 v2 pith:K6X6BQYT submitted 2015-12-23 math-ph hep-thmath.MP

Tigran Hakobyan , Armen Nersessian , Hovhannes Shmavonyan This is my paper · ORCID
classification math-phhep-thmath.MP
keywords systemscoordinatehiddensymmetriesaction-angleattentioncalogeroclassical
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We review the classical properties of Tremblay-Turbiner-Winternitz and Post-Wintenitz systems and their relation with N-dimensional rational Calogero model with oscillator and Coulomb potentials, paying special attention to their hidden symmetries. Then we show that combining the radial coordinate and momentum in a single complex coordinate in proper way, we get an elegant description for the hidden and dynamical symmetries in these systems related with action-angle variables.

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    hep-th 2019-08 conditional novelty 7.0 of 10

    The thesis derives explicit first integrals and Killing tensors for geodesics in near-horizon Myers-Perry black holes, introduces a B-memory formulation of gravitational memory, and constructs resonant spacetimes from...

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