dorsal/arxiv
View SchemaAnyons, Monopole and Coulomb Problem
| Authors | A. Nersessian, V. M. Ter-Antonyan |
|---|---|
| Categories | |
| ArXiv ID | physics/9712027 |
| URL | https://arxiv.org/abs/physics/9712027 |
| Journal | Phys.Atom.Nucl. 61 (1998) 1756-1761; Yad.Fiz. 61 (1998) 1868-1872 |
Abstract
The 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.
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"abstract": "The monopole systems with hidden symmetry of the two-dimensional Coulomb\nproblem are considered.\n One of them, the \"charge-charged magnetic vortex\" with a half-spin, is\nconstructed by reducing the quantum circular oscillator with respect to the\naction of the parity operator.\n The other two systems are constructed by reduction from the two-dimensional\ncomplex space. The first system is a particle on the sphere in the presence of\nthe exterior constant magnetic field (generated by Dirac\u0027s monopole located in\nits center). This system is dual to the massless (3+1)-dimensional particle\nwith fixed energy. The second system represents the particle on the\npseudosphere in the presence of exterior magnetic field and is dual to the\nmassive relativistic anyon.",
"arxiv_id": "physics/9712027",
"authors": [
"A. Nersessian",
"V. M. Ter-Antonyan"
],
"categories": [
"math-ph",
"math.MP",
"quant-ph"
],
"journal_ref": "Phys.Atom.Nucl. 61 (1998) 1756-1761; Yad.Fiz. 61 (1998) 1868-1872",
"title": "Anyons, Monopole and Coulomb Problem",
"url": "https://arxiv.org/abs/physics/9712027"
},
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