Hamilton-Jacobi theory and the evolution operator

Details Hamilton-Jacobi theory and the evolution operator Hamilton-Jacobi theory and the evolution operator

2009-07-06

arxiv.org/abs/0907.1039v1

"Mathematical Physics and Field Theory". Julio Abad, in Memoriam. Eds M. Asorey, J.V. Garcia-Esteve, M.F. Ranada, J. Sesma. Pr

Physics

Mathematical Physics

10 pp

Scientific paper

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.

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