Multicenter McIntosh-Cisneros-Zwanziger-Kepler system, supersymmetry and integrability

Journal Article · Sun Apr 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.085002· OSTI ID:21020414

Krivonos, Sergey ^[1]; Nersessian, Armen ^[2]; Ohanyan, Vadim ^[2]

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1. JINR, Bogolyubov Laboratory of Theoretical Physics, Dubna (Russian Federation)
2. Yerevan Physics Institute 2 Alikhanian Brothers Street, Yerevan, 375036, Armenia and Yerevan State University, 1 A. Manoogian Street, Yerevan, 375025 (Armenia)

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.

• OSTI ID: 21020414
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 8; Other Information: DOI: 10.1103/PhysRevD.75.085002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
COORDINATES
DIFFERENTIAL EQUATIONS
DYONS
EUCLIDEAN SPACE
INTEGRAL CALCULUS
MAGNETIC FIELDS
MAGNETIC MONOPOLES
QUANTUM DOTS
QUANTUM FIELD THEORY
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY