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On magnetostatics in the Lobachevsky Spac
A. M. Trepalin Mari State University, Ioshkar-Ola
Abstract:
An analog of the Biot–Savart law in the Lobachevsky space is obtained by a kinematic method. We find an expression for the Lorentz force in the case where a charge moves in electric and magnetic fields and prove the work is done only by electric forces. The Poynting theorem is proved and the cyclotron problem is solved.
Keywords:
Lobachevsky space, magnetic field.
Citation:
A. M. Trepalin, “On magnetostatics in the Lobachevsky Spac”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 123–127
Linking options:
https://www.mathnet.ru/eng/into1161 https://www.mathnet.ru/eng/into/v223/p123
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Abstract page: | 49 | Full-text PDF : | 16 | References: | 20 |
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