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

Authors

  • Gerardo Francisco Torres del Castillo Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla http://orcid.org/0000-0002-9262-0252
  • Luis Ángel Capulín Tlaltecatl Facultad de Ciencias F´ısico Matematicas, Benemérita Universidad Autónoma de Puebla

DOI:

https://doi.org/10.31349/RevMexFis.69.010702

Keywords:

Variational symmetries, Hypercomplex numbers, Non-standard Lagrangians

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.

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Published

2023-01-03

How to Cite

[1]
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.

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Section

07 Gravitation, Mathematical Physics and Field Theory