Symplectic structures and Hamiltonians of a mechanical system

Symplectic structures and Hamiltonians of a mechanical system

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...

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Veröffentlicht in:Revista mexicana de física 2003-10, Vol.49 (5), p.445-449
Hauptverfasser: Torres del Castillo, G.F., Mendoza Torres, G.
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Mendoza Torres, G.
description 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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title Symplectic structures and Hamiltonians of a mechanical system
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