The phase representation of covariant phase observables
: Pellonpaa JP
Publisher: TAYLOR & FRANCIS LTD
: 2003
Journal of Modern Optics
JOURNAL OF MODERN OPTICS
: J MOD OPTIC
: 50
: 14
: 2127
: 2131
: 5
: 0950-0340
DOI: https://doi.org/10.1080/0950034031000077524
Covariant phase observables are obtained by defining simple conditions for mappings from the set of phase wavefunctions (unit vectors of the Hardy space) to the set of phase probability densities. The existence of phase probability density for any phase wavefunction, the existence of interference effects and the natural phase shift covariance are those simple conditions. The non-localizability of covariant phase observables is proved.