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.

arXiv comment60 pages

References in corpus (9)

• Geometric Hamilton-Jacobi Theory
• Reduction Procedures in Classical and Quantum Mechanics
• Structural aspects of Hamilton-Jacobi theory
• A Hamilton-Jacobi formalism for higher order implicit systems
• A Hamilton-Jacobi theory for implicit differential systems
• A quantum route to the classical Lagrangian formalism
• Symmetries and Reduction -- part I -- Poisson and symplectic picture
• Lagrangian description of Heisenberg and Landau-von Neumann equations of motion
• A Hodge - De Rham Dirac operator on the quantum $\mathrm{SU}(2)$

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