Complementarity of representations in quantum mechanics

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dc.creatorHalvorson, Hans
dc.date2001-10-16
dc.date.accessioned2026-07-07T06:02:52Z
dc.date.available2026-07-07T06:02:52Z
dc.descriptionWe 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 CCRs. 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.
dc.description14 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0110102
dc.identifierhttp://arxiv.org/abs/quant-ph/0110102
dc.identifierStudies in History and Philosophy of Modern Physics 35, 45-56 (2004)
dc.identifierdoi:10.1016/j.shpsb.2003.01.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89774
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleComplementarity of representations in quantum mechanics
dc.typetext

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