2006/11/30 by S. Krivonos, Sergey Krivonos, Armen Nersessian +1 · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #cond-mat.mes-hall #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.75.085002
published as Phys.Rev.D75:085002,2007 · 5 pages, revtex, revised version
arxiv created 2007/03/19 · openalex publication_date 2007/04/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We propose the general scheme of incorporation of the Dirac monopoles into mechanical systems on the three-dimensional conformal flat space. We found that any system (without monopoles) admitting the separation of variables in the elliptic or parabolic coordinates can be extended to the integrable system with the Dirac monopoles located at the foci of the corresponding coordinate systems. Particular cases of this class of system are the two-center MICZ-Kepler system in the Euclidean space, the limiting case when one of the background dyons is located at the infinity as well as the model of particle in parabolic quantum dot in the presence of parallel constant uniform electric and magnetic fields.