Phase observables, phase operators and operator orderings



: Pellonpaa JP

Publisher: IOP PUBLISHING LTD

: 2001

Journal of Physics -London- a Mathematical and General

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

: J PHYS A-MATH GEN

: 34

: 38

: 7901

: 7916

: 16

: 0305-4470

DOI: https://doi.org/10.1088/0305-4470/34/38/314


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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