A revisitation of the Legendre transformation in the context of affine principal bundles is presented. The argument, merged with the gauge-theoretical considerations developed elsewhere, provides a unified representation of lagrangian and hamiltonian mechanics extending to arbitrary non-autonomous systems the symplectic approach of W.M.Tulczyjew.
Legendre transformation and analytical mechanics: a geometric approach
MASSA, ENRICO;VIGNOLO, STEFANO
2003-01-01
Abstract
A revisitation of the Legendre transformation in the context of affine principal bundles is presented. The argument, merged with the gauge-theoretical considerations developed elsewhere, provides a unified representation of lagrangian and hamiltonian mechanics extending to arbitrary non-autonomous systems the symplectic approach of W.M.Tulczyjew.
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