We characterize all position and momentum observables on R and on R^3, i.e. all observables satisfying a suitable covariance property under the action of the Galilei group. We show that each position (respectively, momentum) observable is a fuzzy version of sharp position (resp., momentum). We study some operational properties of position and momentum observables and discuss their covariant joint observables.

Position and momentum observables on R and on R^3

TOIGO, ALESSANDRO
2004-01-01

Abstract

We characterize all position and momentum observables on R and on R^3, i.e. all observables satisfying a suitable covariance property under the action of the Galilei group. We show that each position (respectively, momentum) observable is a fuzzy version of sharp position (resp., momentum). We study some operational properties of position and momentum observables and discuss their covariant joint observables.
2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/569841
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