Pavle Saksida 2002 J. Phys. A: Math. Gen. 35 5237 doi:10.1088/0305-4470/35/25/306
Pavle Saksida
Show affiliationsIn this paper we study a certain magnetic-like perturbation of the Neumann system. We prove the integrability of this system and show how its solutions are related to the solutions of a charged spherical pendulum influenced by the topologically nontrivial magnetic field Bd(q) = q/
q
3 of the Dirac monopole. In the case when the quadratic potential of the Neumann system has a suitable axial symmetry, our system describes the motion of a charged particle under the influence of the potential and the homogeneous magnetic field Bh(q) = (1, 0, 0).
70H06 Completely integrable systems and methods of integration
Issue 25 (28 June 2002)
Received 4 December 2001, in final form 26 March 2002
Published 14 June 2002
Pavle Saksida 2002 J. Phys. A: Math. Gen. 35 5237
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