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arXiv · 0907.1039

Hamilton-Jacobi theory and the evolution operator

J. F. Carinena·X. Gracia·E. Martinez·G. Marmo·M. C. Munoz-Lecanda·N. Roman-Roy
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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.

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J. F. Carinena, X. Gracia, E. Martinez, G. Marmo, M. C. Munoz-Lecanda, N. Roman-Roy. 2009-07-06. Hamilton-Jacobi theory and the evolution operator. https://arxiv.org/abs/0907.1039

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