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Superintegrability, Lax matrices and separation of variables

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arxiv nlin/0303009 v3 pith:7NE5CBEE submitted 2003-03-06 nlin.SI hep-thmath-phmath.MP

classification nlin.SIhep-thmath-phmath.MP
keywords systemsseparationsuperintegrabilityvariablesadmitcertaincoordinatededuced
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We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that such systems admit a separation of variables in parametric families of coordinate systems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrable systems connected with black holes

    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...

  2. Geometry and integrability in $\mathcal{N}=8$ supersymmetric mechanics

    hep-th 2019-08 conditional novelty 6.0 of 10

    An N=8 supersymmetric mechanics with potential is built on rigid special Kähler manifolds, yielding bosonic Hamiltonians that include superintegrable deformations of the 2D oscillator and Coulomb problem.

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