Feynman's Propagator in Schwinger's picture of Quantum Mechanics
Florio M. Ciaglia,
Fabio Di Cosmo,
Alberto Ibort
et al.
Abstract: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. It is shown that such construction corresponds to the GNS representation of a natural family of states called Dirac-Feynman-Schwinger (DFS) states. Such states are obtained from a q-Lagrangian function on the groupoid of configurations of the system. The groupoid of histories of the system is constructed and the q-Lagrangian allow to … Show more
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