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 |
|---|---|
| Date: | 2023 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
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| _version_ | 1862720918896246784 |
|---|---|
| author | Bhandari, Dipesh Crescimanno, Michael |
| author_facet | Bhandari, Dipesh Crescimanno, Michael |
| citation_txt | Newton's Off-Center Circular Orbits and the Magnetic Monopole. Dipesh Bhandari and Michael Crescimanno. SIGMA 19 (2023), 099, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-21T02:58:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212032 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T02:58:58Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bhandari, Dipesh Crescimanno, Michael 2026-01-23T10:09:02Z 2023 Newton's Off-Center Circular Orbits and the Magnetic Monopole. Dipesh Bhandari and Michael Crescimanno. SIGMA 19 (2023), 099, 10 pages 1815-0659 2020 Mathematics Subject Classification: 37J37; 19K56 arXiv:2307.15222 https://nasplib.isofts.kiev.ua/handle/123456789/212032 https://doi.org/10.3842/SIGMA.2023.099 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. The authors acknowledge partial support via NSF grant DMR-2226956. We thank Don Priour for conversations and assistance with the figures. We are thankful to a referee for bringing reference [19] to our attention. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Newton's Off-Center Circular Orbits and the Magnetic Monopole Article published earlier |
| spellingShingle | Newton's Off-Center Circular Orbits and the Magnetic Monopole Bhandari, Dipesh Crescimanno, Michael |
| title | Newton's Off-Center Circular Orbits and the Magnetic Monopole |
| title_full | Newton's Off-Center Circular Orbits and the Magnetic Monopole |
| title_fullStr | Newton's Off-Center Circular Orbits and the Magnetic Monopole |
| title_full_unstemmed | Newton's Off-Center Circular Orbits and the Magnetic Monopole |
| title_short | Newton's Off-Center Circular Orbits and the Magnetic Monopole |
| title_sort | newton's off-center circular orbits and the magnetic monopole |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212032 |
| work_keys_str_mv | AT bhandaridipesh newtonsoffcentercircularorbitsandthemagneticmonopole AT crescimannomichael newtonsoffcentercircularorbitsandthemagneticmonopole |