25–30 Jun 2018
POLICETA-SAN RUFO (SALERNO)
Europe/Rome timezone

A gentle introduction to Schwinger's picture and groupoids in Quantum Mechanics

27 Jun 2018, 10:15
45m
POLICETA-SAN RUFO (SALERNO)

POLICETA-SAN RUFO (SALERNO)

Agriturismo ERBANITO, Via Palizzo, 19

Speaker

Florio Maria Ciaglia (INFN-Sezione di Napoli, and Max Planck Institute for Mathematics in the Sciences Leipzig)

Description

An alternative formulation of Quantum Mechanics based on selective measurements due to Schwinger is reviewed. 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.

Primary authors

Prof. Alberto Ibort (Instituto de Ciencias Matemáticas ICMAT, and Depto. de Matemáticas Universidad Carlos III de Madrid) Florio Maria Ciaglia (INFN-Sezione di Napoli, and Max Planck Institute for Mathematics in the Sciences Leipzig) Giuseppe Marmo (INFN-Sezione di Napoli, and Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II)

Presentation materials

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