Feintzeig, Benjamin H. and Weatherall, James Owen (2018) Why Be Regular? Part II. [Preprint]
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Abstract
We provide a novel perspective on "regularity" as a property of representations of the Weyl algebra. In Part I, we critiqued a proposal by Halvorson [2004, "Complementarity of representations in quantum mechanics", Studies in History and Philosophy of Modern Physics 35(1), pp. 45--56], who advocates for the use of the non-regular "position" and "momentum" representations of the Weyl algebra. Halvorson argues that the existence of these non-regular representations demonstrates that a quantum mechanical particle can have definite values for position or momentum, contrary to a widespread view. In this sequel, we propose a justification for focusing on regular representations, pace Halvorson, by drawing on algebraic methods.
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| Item Type: | Preprint | |||||||||
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| Keywords: | regular representations, normal states, Weyl algebra, quantization, Halvorson | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
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| Depositing User: | James Owen Weatherall | |||||||||
| Date Deposited: | 15 May 2018 13:45 | |||||||||
| Last Modified: | 15 May 2018 13:45 | |||||||||
| Item ID: | 14670 | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
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| Date: | 2018 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14670 |
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