Generalizations of MICZ-Kepler system
Armen Nersessian
Abstract
Armen Nersessian
Abstract
We discuss the generalizations of the MICZ-Kepler system (the system describing the motion of the charged particle in the field of Dirac dyon), to the curved spaces, arbitrary potentials and to the multi-dyon background. The integrable system describing the motion of the charged particle in the field of Dirac dyon (magnetic monopole carrying the electric charge) has been suggested independently by Zwanziger [1] and by McIntosh and Cisneros [2] and presently is known as MICZ-Kepler system. It is defined by the following Hamiltonian HMIC = π2
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We discuss the generalizations of the MICZ-Kepler system (the system describing the motion of the charged particle in the field of Dirac dyon), to the curved spaces, arbitrary potentials and to the multi-dyon background. The integrable system describing the motion of the charged particle in the field of Dirac dyon (magnetic monopole carrying the electric charge) has been suggested independently by Zwanziger [1] and by McIntosh and Cisneros [2] and presently is known as MICZ-Kepler system. It is defined by the following Hamiltonian HMIC = π2
Key concepts: Dyon, Physics, Kepler, Kepler problem, Motion (physics), Classical mechanics, Field (mathematics), Dirac (video compression format)