Why be regular? Part II |
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Institution: | 1. Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA;2. Center for Experimental Study of Subsurface Environmental Processes, Colorado School of Mines, Golden, CO 80401, USA |
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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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