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A gentle introduction to Schwinger’s picture and grupoids in Quantum Mechanics
by
DrFlorio Maria CIAGLIA(Max Planck Institute for Mathematics in the Sciences Leipzig)
→
Europe/Rome
0M03 (Dipartimento di Fisica "Ettore Pancini")
0M03
Dipartimento di Fisica "Ettore Pancini"
Complesso Universitario di Monte S. Angelo, ed. 6 -
via Cintia - Napoli
Description
An alternative formulation of Quantum Mechanics based on selective measurements due to Schwinger is reviewd. It is argued that the mathematical structure behind Schwinger’s “Symbolism of Atomic Measurements” is that of a groupoid. In this framework, both the Hilbert space (Schrödinger picture) and the C*-algebra (Heisenberg picture) of the system turn out to be derived concepts, that is, they are built out of the underlying groupoid structure.
