Hamilton-Jacobi theory and the evolution operator

Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Martínez, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso

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Cariñena, José F.

Gràcia Sabaté, Francesc Xavier

Martínez, Eduardo

Marmo, Giuseppe

Muñoz Lecanda, Miguel Carlos

Román Roy, Narciso

Document typePart of book or chapter of book

Defense date2009-04

PublisherPrensas Univ. Zaragoza

Rights accessOpen Access

Abstract

We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in a previous paper [7], and can be applied to the case of singular Lagrangian dynamical systems.

CitationCariñena, José F. [et al.]. Hamilton-Jacobi theory and the evolution operator. A: Eds M. Asorey, J.V. Garcia-Esteve, M.F. Rañada, J. Sesma. "Mathematical Physics and Field Theory. Julio Abad, in Memoriam". 1 ed. Zaragoza: Prensas Univ. Zaragoza, 2009, p. 177-186.

URIhttp://hdl.handle.net/2117/3019

ISBN978-84-92774-04-3

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