8 citations · 35 across the 8 of their papers we have counts for
11 papers
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…
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…
A quantum route to the classical Lagrangian formalism
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
Using the recently developed groupoidal description of Schwinger's picture of Quantum Mechanics, a new approach to Dirac's fundamental question on the role of the Lagrangian in Qua…
Covariant reduction of classical Hamiltonian Field Theories: From D'Alembert to Klein-Gordon and Schrödinger
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +2
A novel reduction procedure for covariant classical field theories, reflecting the generalized symplectic reduction theory of Hamiltonian systems, is presented. The departure point…
Covariant Variational Evolution and Jacobi Brackets: Fields
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +2
The analysis of the covariant brackets on the space of functions on the solutions to a variational problem in the framework of contact geometry initiated in the companion letter Re…
Covariant Variational Evolution and Jacobi Brackets: Particles
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +2
The formulation of covariant brackets on the space of solutions to a variational problem is analyzed in the framework of contact geometry. It is argued that the Poisson algebra on…