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arxiv: 0907.1039 · v1 · pith:RZA2CTWInew · submitted 2009-07-06 · 🧮 math-ph · math.MP

Hamilton-Jacobi theory and the evolution operator

classification 🧮 math-ph math.MP
keywords hamilton-jacobilagrangianoperatortheoryappliedapproachcasedeveloped
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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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