Abstract

TORRES DEL CASTILLO, G.F.  and  MENDOZA TORRES, G.. Symplectic structures and Hamiltonians of a mechanical system. Rev. mex. fis. [online]. 2003, vol.49, n.5, pp.445-449. ISSN 0035-001X.

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.

Keywords : Symplectic structure; Hamilton equations.

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