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Quantum mechanics: symmetry and interpretation

Fortin, Sebastian and Lombardi, Olimpia (2016) Quantum mechanics: symmetry and interpretation. In: UNSPECIFIED.

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Abstract

In this paper it will be argued that any realist interpretation of quantum mechanics intending to preserve the objectivity of the set of the definite-valued observables should require such a set to be invariant under the symmetry group of the theory. In particular, it will be shown that the natural way to reach this goal is to appeal to the Casimir operators of the Galilean group. Additionally, this idea will be generalized in two ways: (i) by selecting the definite-valued observables of a system in quantum field theory as those represented by the Casimir operators of the Poincaré group, and (ii) by extending the strategy to gauge symmetries.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Fortin, Sebastiansfortin@conicet.gov.ar
Lombardi, Olimpiaolimpiafilo@arnet.com.ar
Keywords: Realist interpretation of quantum mechanics; Galilean group; Casimir operators; Quantum field theory; Poincaré group; Gauge symmetries
Subjects: Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Sebastian Fortin
Date Deposited: 22 Jul 2016 16:04
Last Modified: 22 Jul 2016 16:04
Item ID: 12298
Subjects: Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Date: 2016
URI: http://philsci-archive.pitt.edu/id/eprint/12298

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