Published in

World Scientific Publishing, International Journal of Geometric Methods in Modern Physics, 04(17), p. 2050054, 2020

DOI: 10.1142/s0219887820500541

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Schwinger’s picture of quantum mechanics

Journal article published in 2020 by F. M. Ciaglia ORCID, F. Di Cosmo ORCID, A. Ibort, G. Marmo
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

In this paper, we will present the main features of what can be called Schwinger’s foundational approach to Quantum Mechanics. The basic ingredients of this formulation are the selective measurements, whose algebraic composition rules define a mathematical structure called groupoid, which is associated with any physical system. After the introduction of the basic axioms of a groupoid, the concepts of observables and states, statistical interpretation and evolution are derived. An example is finally introduced to support the theoretical description of this approach.