Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics
Bueno, Otavio (2001) Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics.
Full text available as: |
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]).
| 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) |
| ID Code: | 409 |
| Deposited By: | Castellani, Elena |
| Deposited On: | 25 September 2001 |