Complementarity of representations in quantum mechanics

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Complementarity of representations in quantum mechanics. / Halvorson, Hans.

I: Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, Bind 35, Nr. 1, 03.2004, s. 45-56.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Halvorson, H 2004, 'Complementarity of representations in quantum mechanics', Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, bind 35, nr. 1, s. 45-56. https://doi.org/10.1016/j.shpsb.2003.01.001

APA

Halvorson, H. (2004). Complementarity of representations in quantum mechanics. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, 35(1), 45-56. https://doi.org/10.1016/j.shpsb.2003.01.001

Vancouver

Halvorson H. Complementarity of representations in quantum mechanics. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics. 2004 mar.;35(1):45-56. https://doi.org/10.1016/j.shpsb.2003.01.001

Author

Halvorson, Hans. / Complementarity of representations in quantum mechanics. I: Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics. 2004 ; Bind 35, Nr. 1. s. 45-56.

Bibtex

@article{b5bbc143e67b4a38b212a94df0b19da0,
title = "Complementarity of representations in quantum mechanics",
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.",
keywords = "C*-algebra, Complementarity, Hidden variables, Quantum mechanics",
author = "Hans Halvorson",
year = "2004",
month = mar,
doi = "10.1016/j.shpsb.2003.01.001",
language = "English",
volume = "35",
pages = "45--56",
journal = "Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics",
issn = "1355-2198",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Complementarity of representations in quantum mechanics

AU - Halvorson, Hans

PY - 2004/3

Y1 - 2004/3

N2 - 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.

AB - 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.

KW - C-algebra

KW - Complementarity

KW - Hidden variables

KW - Quantum mechanics

U2 - 10.1016/j.shpsb.2003.01.001

DO - 10.1016/j.shpsb.2003.01.001

M3 - Journal article

AN - SCOPUS:0347123000

VL - 35

SP - 45

EP - 56

JO - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics

JF - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics

SN - 1355-2198

IS - 1

ER -

ID: 289118988