We investigate the problem of coexistence of position and momentum observables. We characterize those pairs of position and momentum observables which have a joint observable.
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2005 (v1)PublicationUploaded on: March 31, 2023
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2007 (v1)Publication
The intrinsic unsharpness of a quantum observable is studied by introducing the notion of resolution width. This quantification of accuracy is shown to be closely connected with the possibility of making approximately repeatable measurements. As a case study, the intrinsic unsharpness and approximate repeatability of position and momentum...
Uploaded on: April 14, 2023 -
2008 (v1)Publication
We discuss why projection valued measures are not sufficient in the description of position and momentum of a one dimensional particle. A satisfactory solution is offered using positive operator measures. We also argue why the relevant positive operator measures, but not all, may be called unsharp observables.
Uploaded on: March 27, 2023 -
2004 (v1)Publication
We characterize all position and momentum observables on R and on R-3. We study some of their operational properties and discuss their covariant joint observables.
Uploaded on: March 31, 2023