A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture-Reference-Cited by-同舟云学术

A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture

Published:2018-06-28 Issue:20 Volume:33 Page:1850122
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Ciaglia F. M.¹²,Ibort A.³,Marmo G.¹²

Affiliation:

1. Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo Edificio 6, Napoli 80126, Italy

2. INFN-Sezione di Napoli, Complesso Universitario di Monte S. Angelo Edificio 6, Napoli 80126, Italy

3. ICMAT, Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) Depto. de Matemáticas, Univ. Carlos III de Madrid, Leganés, Madrid 28911, Spain

Abstract

In this paper, we review Schwinger’s formulation of Quantum Mechanics and 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 [Formula: see text]-algebra (Heisenberg picture) of the system turn out to be derived concepts, that is, they arise from the underlying groupoid structure.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732318501225

Reference10 articles.

1. Description of States in Quantum Mechanics by Density Matrix and Operator Techniques

2. How to Measure the Quantum Measure

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