arXiv:quant-ph/0109026 · Journal of Modern Optics
The phase representation of covariant phase observables
Juha-Pekka Pellonpää
Abstract
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.