Schwinger's picture of Quantum Mechanics

• URL: http://arxiv.org/abs/2002.09326v1
• Date: Fri, 21 Feb 2020 14:28:31 GMT
• Title: Schwinger's picture of Quantum Mechanics
• Authors: Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo
• Abstract summary: We will present what can be called Schwinger's foundational approach to Quantum Mechanics. The basic ingredients of this formulation are the textitselective measurements, whose algebra rules define a mathematical structure called groupoid.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we will present tha main features of what can be called Schwinger's foundational approach to Quantum Mechanics. The basic ingredients of this formulation are the \textit{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.

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