Applications of the complex, double and dual numbers in Lagrangian mechanics


  • Gerardo Francisco Torres del Castillo Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla
  • Luis Ángel Capulín Tlaltecatl Facultad de Ciencias F´ısico Matematicas, Benemérita Universidad Autónoma de Puebla



Variational symmetries, Hypercomplex numbers, Non-standard Lagrangians


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.


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How to Cite

G. F. Torres del Castillo and L. Ángel Capulín Tlaltecatl, “Applications of the complex, double and dual numbers in Lagrangian mechanics”, Rev. Mex. Fís., vol. 69, no. 1 Jan-Feb, pp. 010702 1–, Jan. 2023.



07 Gravitation, Mathematical Physics and Field Theory