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Why Be Regular? Part I

Feintzeig, Benjamin H. and (Le)Manchak, JB and Rosenstock, Sarita and Weatherall, James Owen (2018) Why Be Regular? Part I. [Preprint]

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We provide a novel perspective on "regularity" as a property of representations of the Weyl algebra. We first critique 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 argues that the non-regular "position" and "momentum" representations of the Weyl algebra demonstrate that a quantum mechanical particle can have definite values for position or momentum, contrary to a widespread view. We how that there are obstacles to such an intepretation of non-regular representations. In Part II, we propose a justification for focusing on regular representations, pace Halvorson, by drawing on algebraic methods.

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Item Type: Preprint
Feintzeig, Benjamin
Weatherall, James
Keywords: regular representations, normal states, Weyl algebra, Halvorson
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: James Owen Weatherall
Date Deposited: 15 May 2018 13:43
Last Modified: 15 May 2018 13:43
Item ID: 14669
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Date: 2018

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