A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Covariant localizations in the torus and the phase observables
Tekijät: Cassinelli G, De Vito E, Lahti P, Pellonpaa JP
Kustantaja: AMER INST PHYSICS
Julkaisuvuosi: 2002
Lehti: Journal of Mathematical Physics
Tietokannassa oleva lehden nimi: JOURNAL OF MATHEMATICAL PHYSICS
Lehden akronyymi: J MATH PHYS
Vuosikerta: 43
Numero: 2
Aloitussivu: 693
Lopetussivu: 704
Sivujen määrä: 12
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1425958
Tiivistelmä
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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