Applications of the complex, double and dual numbers in Lagrangian mechanics (5 pages)

• G.F. Torres del Castillo ^[1] ; L.A. Capulín Tlaltecatl ^[1]
  1. [1] Benemérita Universidad Autónoma de Puebla

     Benemérita Universidad Autónoma de Puebla

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 69, Nº. 1, 2023
• Idioma: inglés
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• Resumen

  • 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.