Bueno, Otavio (2001) Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics. [Preprint]

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Abstract

In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen's elegant presentation of how symmetry principles can be used as problem-solving devices (see van Fraassen [1989] and [1991]). I will then examine in what ways Hermann Weyl and John von Neumann have used symmetry principles in their work as a crucial problem-solving tool. Finally, I shall explore one consequence of this situation to recent debates about structural realism (SR) and empiricism in physics (Worrall [1989], Ladyman [1998], and French [1999]).

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Item Type:	Preprint
Creators:	Creators Email ORCID Bueno, Otavio
Keywords:	symmetry groups, quantum mechanics, structural realism
Subjects:	Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Structure of Theories
Depositing User:	Elena Castellani
Date Deposited:	25 Sep 2001
Last Modified:	21 Mar 2016 15:42
Item ID:	409
Subjects:	Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Structure of Theories
Date:	January 2001
URI:	https://philsci-archive.pitt.edu/id/eprint/409

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