Symplectic structures and Hamiltonians of a mechanical system

Authors

  • G.F. Torres del Castillo
  • G. Mendoza Torres

Keywords:

Symplectic structure, Hamilton equations

Abstract

It is shown that in the case of a mechanical system with a finite number of degrees of freedom in classical mechanics, any constant of motion can be used as Hamiltonian by defining appropriately the symplectic structure of the phase space (or, equivalently, the Poisson bracket) and that for a given constant of motion, there are infinitely many symplectic structures that reproduce the equations of motion of the system.

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Published

2003-01-01

How to Cite

[1]
G. Torres del Castillo and G. Mendoza Torres, “Symplectic structures and Hamiltonians of a mechanical system”, Rev. Mex. Fís., vol. 49, no. 5, pp. 445–0, Jan. 2003.

Issue

Vol. 49 No. 5 (2003): 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.