Symmetries and Reduction. Part II - Lagrangian and Hamilton-Jacobi picture

Abstract

Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe a Noether theorem related to symmetries, with the associated reduction procedures, for classical dynamics within the Lagrangian and the Hamilton-Jacobi formalism.

60 pages

References in corpus (3)

• Reduction Procedures in Classical and Quantum Mechanics
• A quantum route to the classical Lagrangian formalism
• Lagrangian description of Heisenberg and Landau-von Neumann equations of motion

Cited by in corpus (2)

• Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
• Symmetries and Covariant Poisson brackets on pre-symplectic manifolds