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math-ph2021
Recursion operator in a noncommutative Minkowski phase space
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Ezinvi Baloitcha
A recursion operator for a geodesic flow, in a noncommutative (NC) phase space endowed with a Minkowski metric, is constructed and discussed in this work. A NC Hamiltonian function…
math-ph2021
Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji
This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used…
math-ph2021
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic
Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating and dynamical symmetry groups. The Hamiltonian vector field is…