A gentle introduction to Schwinger's formulation of quantum mechanics: The groupoid picture
arXiv:1807.00519 · doi:10.1142/S0217732318501225
Abstract
In this short letter we review Schwinger's formulation of Quantum Mechanics and we argue 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 arise from the underlying groupoid structure.
7 pages