Hamilton-Jacobi theory and the evolution operator

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.

10 pp

References in corpus (2)

• Geometric Hamilton-Jacobi Theory
• A Geometric Hamilton-Jacobi Theory for Classical Field Theories

Cited by in corpus (4)

• On the Hamilton-Jacobi Theory for Singular Lagrangian Systems
• Hamilton-Jacobi Diffieties
• Geometric Hamilton-Jacobi theory for systems with external forces
• Classical and relativistic fluids as intermediate integrals of finite dimensional mechanical systems