Abstract
We study two distinct cases. Firstly, we construct a lagrangian associated with the Newton equations mẍk= fk(x), 1≤k≤3, where fk are components of a force which depends only on the position (without the classical hypothesis of integrability for the force). For clarifying the idea, here we take the frame-work of the Newtonian mechanics. Secondly, we consider the quantum electrodynamics in the case where the field is generated by the magnetic and electric charges. Mathematically speaking, we perceive that we have to give up exterior differential calculus which is totally unsuitable here. We propose to treat these questions with “interior” differential calculus.
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© 1989 Kluwer Academic Publishers
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Laville, G. (1989). Lagrangian for the So-Called Non-Potential Systems: The Case of Magnetic Monopoles. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2643-1_30
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DOI: https://doi.org/10.1007/978-94-009-2643-1_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7693-7
Online ISBN: 978-94-009-2643-1
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