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Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics

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
    Keywords: symmetry groups, quantum mechanics, structural realism
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    General Issues > Realism/Anti-realism
    General Issues > Structure of Theories
    Conferences and Volumes: [2001] Symmetries in Physics, New Reflections: Oxford Workshop (Oxford, January 2001)
    Depositing User: Elena Castellani
    Date Deposited: 25 Sep 2001
    Last Modified: 07 Oct 2010 11:10
    Item ID: 409
    URI: http://philsci-archive.pitt.edu/id/eprint/409

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