Anyons, Monopole and Coulomb Problem

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dc.creatorNersessian, A.
dc.creatorTer-Antonyan, V. M.
dc.date1997-12-16
dc.date.accessioned2026-07-07T10:15:54Z
dc.date.available2026-07-07T10:15:54Z
dc.descriptionThe monopole systems with hidden symmetry of the two-dimensional Coulomb problem are considered. One of them, the "charge-charged magnetic vortex" with a half-spin, is constructed by reducing the quantum circular oscillator with respect to the action of the parity operator. The other two systems are constructed by reduction from the two-dimensional complex space. The first system is a particle on the sphere in the presence of the exterior constant magnetic field (generated by Dirac's monopole located in its center). This system is dual to the massless (3+1)-dimensional particle with fixed energy. The second system represents the particle on the pseudosphere in the presence of exterior magnetic field and is dual to the massive relativistic anyon.
dc.description10 pages, to be published in Russian J. Nucl. Phys
dc.identifierhttps://arxiv.org/abs/physics/9712027
dc.identifierhttp://arxiv.org/abs/physics/9712027
dc.identifierPhys.Atom.Nucl. 61 (1998) 1756-1761; Yad.Fiz. 61 (1998) 1868-1872
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173333
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleAnyons, Monopole and Coulomb Problem
dc.typetext

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