Covariant localizations in the torus and the phase observables



: Cassinelli G, De Vito E, Lahti P, Pellonpaa JP

Publisher: AMER INST PHYSICS

: 2002

Journal of Mathematical Physics

JOURNAL OF MATHEMATICAL PHYSICS

: J MATH PHYS

: 43

: 2

: 693

: 704

: 12

: 0022-2488

DOI: https://doi.org/10.1063/1.1425958


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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