Applications of the complex, double and dual numbers in Lagrangian mechanics
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Published:2023-01-03
Issue:1 Jan-Feb
Volume:69
Page:
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ISSN:2683-2224
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Container-title:Revista Mexicana de Física
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language:
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Short-container-title:Rev. Mex. Fís.
Author:
Torres del Castillo Gerardo FranciscoORCID,
Capulín Tlaltecatl Luis Ángel
Abstract
It is shown that in some examples of classical mechanics, the complex, double and dual numbers are useful in the search of symmetries of the equations of motion. As a byproduct, we obtain non-standard Lagrangians for the systems under consideration.
Publisher
Sociedad Mexicana de Fisica A C
Subject
General Physics and Astronomy,Education