A1 Refereed original research article in a scientific journal
Phase observables, phase operators and operator orderings
Authors: Pellonpaa JP
Publisher: IOP PUBLISHING LTD
Publication year: 2001
Journal:Journal of Physics -London- a Mathematical and General
Journal name in sourceJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Journal acronym: J PHYS A-MATH GEN
Volume: 34
Issue: 38
First page : 7901
Last page: 7916
Number of pages: 16
ISSN: 0305-4470
DOI: https://doi.org/10.1088/0305-4470/34/38/314
Abstract
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.
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