First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator

First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator

We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians L. The Liouville integrability of L implies the (minimal) superintegrability of...

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Bibliographic Details
Main Authors: Giovanni Rastelli, Luca Degiovanni, Claudia Chanu
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
superintegrable Hamiltonian systems
polynomial first integrals
constant curvature
Hessian tensor
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.038

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