16 citations · 67 across the 13 of their papers we have counts for
15 papers
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…
Lagrangian description of Heisenberg and Landau-von Neumann equations of motion
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of…