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
Becker, Adam
Greco, Pietro
Rasmus Jaksland
Stenholm, Stig
Stuewer, Roger H.
Concepts
Quantum mechanics
Physics
Philosophy of science
Complementarity
Theoretical physics
Many worlds interpretation (quantum mechanics)
Time Periods
20th century
20th century, early
21st century
20th century, late
19th century
Places
Copenhagen (Denmark)
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