Article ID: CBB000471100

Complementarity of Representations in Quantum Mechanics (2004)

unapi

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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https://data.isiscb.org/isis/citation/CBB000471100/

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Authors & Contributors
Camilleri, Kristian
Greco, Pietro
Rasmus Jaksland
Stenholm, Stig
Stuewer, Roger H.
Strien, Marij van
Journals
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Studies in History and Philosophy of Science
Physics in Perspective
Perspectives on Science
Journal for General Philosophy of Science
International Studies in the Philosophy of Science
Publishers
Springer
Oxford University Press
Open Way Press
Logos
Duke University Press
Carocci Editore
Concepts
Quantum mechanics
Physics
Philosophy of science
Complementarity
Theoretical physics
Philosophy
People
Bohr, Niels Henrik David
Heisenberg, Werner
Schrödinger, Erwin
Einstein, Albert
Dirac, Paul Adrien Maurice
Rosenfeld, Léon
Time Periods
20th century
20th century, early
21st century
20th century, late
19th century
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