Mapping of solutions of the Hamilton--Jacobi equation by an arbitrary canonical transformation

Authors

  • G.F. Torres del Castillo
  • H.H. Cruz Domínguez
  • A. de Yta Hernández
  • J.E. Herrera Flores
  • A. Sierra Martínez

Keywords:

Hamilton--Jacobi equation, canonical transformations

Abstract

It is shown that given an arbitrary canonical transformation and an arbitrary Hamiltonian, there is a naturally defined mapping that sends any solution of the Hamilton--Jacobi (HJ) equation into a solution of the HJ equation corresponding to the new Hamiltonian.

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Published

2014-01-01

How to Cite

[1]
G. Torres del Castillo, H. Cruz Domínguez, A. de Yta Hernández, J. Herrera Flores, and A. Sierra Martínez, “Mapping of solutions of the Hamilton--Jacobi equation by an arbitrary canonical transformation”, Rev. Mex. Fís., vol. 60, no. 4 Jul-Aug, pp. 301–0, Jan. 2014.

Issue

Vol. 60 No. 4 Jul-Aug (2014): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.