Newton's Off-Center Circular Orbits and the Magnetic Monopole
Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential to preserve the = 0 dynamical symmetry leads to a unique choice of field that can be identified as the inclusion of a magnetic monopole in the inverse stereographically projected problem. One als...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212032 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Newton's Off-Center Circular Orbits and the Magnetic Monopole. Dipesh Bhandari and Michael Crescimanno. SIGMA 19 (2023), 099, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential to preserve the = 0 dynamical symmetry leads to a unique choice of field that can be identified as the inclusion of a magnetic monopole in the inverse stereographically projected problem. One also finds a phenomenological correspondence with that of the linearly damped Kepler model. The presence of the monopole field deforms the symmetry algebra by a central extension, and the quantum mechanical version of this algebra reveals several zero modes equal to those counted using the index theorem of elliptic operators.
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| ISSN: | 1815-0659 |