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Newton's Off-Center Circular Orbits and the Magnetic Monopole
Dipesh Bhandaria, Michael Crescimannob a Department of Physics and Astronomy, Texas A&M University-Commerce, TX, 75429, USA
b Department of Physics and Astronomy, Youngstown State University,
Youngstown, OH, 44555, USA
Аннотация:
Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential so as to preserve the $E=0$ 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 finds also 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 a number of zero modes equal to that counted using the index theorem of elliptic operators.
Ключевые слова:
integrals of motion, magnetic monopole, zero modes.
Поступила: 31 июля 2023 г.; в окончательном варианте 8 декабря 2023 г.; опубликована 17 декабря 2023 г.
Образец цитирования:
Dipesh Bhandari, Michael Crescimanno, “Newton's Off-Center Circular Orbits and the Magnetic Monopole”, SIGMA, 19 (2023), 099, 10 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1994 https://www.mathnet.ru/rus/sigma/v19/p99
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