Canonical Transformations and Hamiltonian Evolutionary Systems

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dc.creatorAshhab, Samer
dc.date2005-01-21
dc.date.accessioned2026-07-07T04:31:50Z
dc.date.available2026-07-07T04:31:50Z
dc.descriptionIn many Lagrangian field theories one has a Poisson bracket defined on the space of local functionals. We find necessary and sufficient conditions for a transformation on the space of local functionals to be canonical in three different cases. These three cases depend on the specific dimensions of the vector bundle of the theory and the associated Hamiltonian differential operator. We also show how a canonical transformation transforms a Hamiltonian evolutionary system and its conservation laws. Finally we illustrate these ideas with three examples.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0501056
dc.identifierhttp://arxiv.org/abs/math-ph/0501056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57963
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject37K05 (Primary); 53Z05 (Secondary)
dc.titleCanonical Transformations and Hamiltonian Evolutionary Systems
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