Authors
Hans Halvorson
Princeton University
Abstract
We show that Bohr's principle of complementarity between position and momentum descriptions can be formulated rigorously as a claim about the existence of representations of the canonical commutation relations. In particular, in any representation where the position operator has eigenstates, there is no momentum operator, and vice versa. Equivalently, if there are nonzero projections corresponding to sharp position values, all spectral projections of the momentum operator map onto the zero element.
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Reprint years 2003
DOI 10.1016/j.shpsb.2003.01.001
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Between Classical and Quantum.Nicolaas P. Landsman - 2007 - Handbook of the Philosophy of Science 2:417--553.
On the Choice of Algebra for Quantization.Benjamin H. Feintzeig - 2018 - Philosophy of Science 85 (1):102-125.
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Philosophical Aspects of Quantum Field Theory: I.Laura Ruetsche - 2012 - Philosophy Compass 7 (8):559-570.

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