62 citations · 391 across the 31 of their papers we have counts for
12 papers · 1 filter
The Geometry of the solution space of first order Hamiltonian field theories III: Palatini's formulation of General Relativity
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We complete the program started in two companion papers of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian fiel…
The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We go on with the program started in the companion paper [CDI+] of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamilton…
The Geometry of the solution space of first order Hamiltonian field theories I: from particle dynamics to free Electrodynamics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equations of motions of first order Hamiltonian field theories. The cases of Hamilto…
Symmetries and Covariant Poisson brackets on pre-symplectic manifolds
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the…
Feynman's Propagator in Schwinger's picture of Quantum Mechanics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
A novel derivation of Feynman's sum-over-histories construction of the quantum propagator using the groupoidal description of Schwinger picture of Quantum Mechanics is presented. I…
Symmetries and Reduction. Part II - Lagrangian and Hamilton-Jacobi picture
giuseppe marmo, luca schiavone, alessandro zampini
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 procedure…