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Type: Artigo de periódico
Title: A Clifford Algebra Approach To The Classical Problem Of A Charge In A Magnetic Monopole Field
Author: Vaz Jr. J.
Abstract: The motion of an electric charge in the field of a magnetic monopole is described by means of a Lagrangian model written in terms of the Clifford algebra of the physical space. The equations of motion are written in terms of a radial equation (involving r={pipe}r{pipe}, where r(t) is the charge trajectory) and a rotor equation (written in terms of an unitary operator spinor R). The solution corresponding to the charge trajectory in the field of a magnetic monopole is given in parametric form. The model can be generalized in order to describe the motion of a charge in the field of a magnetic monopole and other additional central forces, and as an example, we discuss the classical ones involving linear and inverse square interactions. © 2013 Springer Science+Business Media New York.
Rights: fechado
Identifier DOI: 10.1007/s10773-012-1461-7
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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