A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
On the structure of covariant phase observables
Tekijät: 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: 3
Aloitussivu: 1299
Lopetussivu: 1308
Sivujen määrä: 10
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1446663
Tiivistelmä
We study the mathematical structure of covariant phase observables. Such observables can alternatively be expressed as phase matrices, as sequences of unit vectors, as sequences of phase states, or as equivalence classes of covariant trace-preserving operations. Covariant generalized operator measures are defined by structure matrices which form a W-*-algebra with phase matrices as its subset. The properties of the Radon-Nikodym derivatives of phase probability measures are studied. (C) 2002 American Institute of Physics.
We study the mathematical structure of covariant phase observables. Such observables can alternatively be expressed as phase matrices, as sequences of unit vectors, as sequences of phase states, or as equivalence classes of covariant trace-preserving operations. Covariant generalized operator measures are defined by structure matrices which form a W-*-algebra with phase matrices as its subset. The properties of the Radon-Nikodym derivatives of phase probability measures are studied. (C) 2002 American Institute of Physics.
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