A1 Refereed original research article in a scientific journal
Covariant localizations in the torus and the phase observables
Authors: Cassinelli G, De Vito E, Lahti P, Pellonpaa JP
Publisher: AMER INST PHYSICS
Publication year: 2002
Journal:Journal of Mathematical Physics
Journal name in sourceJOURNAL OF MATHEMATICAL PHYSICS
Journal acronym: J MATH PHYS
Volume: 43
Issue: 2
First page : 693
Last page: 704
Number of pages: 12
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1425958
Abstract
We describe all the localization observables of a quantum particle in a one-dimensional box in terms of sequences of unit vectors in a Hilbert space. An alternative representation in terms of positive semidefinite complex matrices is furnished and the commutative localizations are singled out. As a consequence, we also get a vector sequence characterization of the covariant phase observables. (C) 2002 American Institute of Physics.
We describe all the localization observables of a quantum particle in a one-dimensional box in terms of sequences of unit vectors in a Hilbert space. An alternative representation in terms of positive semidefinite complex matrices is furnished and the commutative localizations are singled out. As a consequence, we also get a vector sequence characterization of the covariant phase observables. (C) 2002 American Institute of Physics.
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