A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Phase observables, phase operators and operator orderings
Tekijät: Pellonpaa JP
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2001
Lehti:Journal of Physics -London- a Mathematical and General
Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Lehden akronyymi: J PHYS A-MATH GEN
Vuosikerta: 34
Numero: 38
Aloitussivu: 7901
Lopetussivu: 7916
Sivujen määrä: 16
ISSN: 0305-4470
DOI: https://doi.org/10.1088/0305-4470/34/38/314
Tiivistelmä
We represent quantum phase observables as phase shift covariant normalized positive operator measures. The phase operators are the first moment operators of the phase observables. A phase operator determines the associated phase observable uniquely. We show that the Cahill-Glauber s-ordered phase operators are determined by phase shift covariant generalized operator measures, which are ordinary operator measures whenever Re s < 0 and phase observables when s less than or equal to -1. The Wigner-Weyl quantized phase operator is not determined by any phase observable. We investigate the classical limit of covariant (generalized) operator measures in coherent states.
We represent quantum phase observables as phase shift covariant normalized positive operator measures. The phase operators are the first moment operators of the phase observables. A phase operator determines the associated phase observable uniquely. We show that the Cahill-Glauber s-ordered phase operators are determined by phase shift covariant generalized operator measures, which are ordinary operator measures whenever Re s < 0 and phase observables when s less than or equal to -1. The Wigner-Weyl quantized phase operator is not determined by any phase observable. We investigate the classical limit of covariant (generalized) operator measures in coherent states.
Turun yliopiston Tutkimustietojärjestelmän portaali