Covariant phase difference observables

Abstract

Covariant phase difference observables are determined in two different ways, by a direct computation and by a group theoretical method. A characterization of phase difference observables which can be expressed as difference of two phase observables is given. Classical limit of such phase difference observables are determined and the Pegg-Barnett phase difference distribution is obtained from the phase difference representation. The relation of Ban's theory to the covariant phase theories is exhibited.

19 pages

References in corpus (3)

• Covariant localizations in the torus and the phase observables
• The Pegg-Barnett Formalism and Covariant Phase Observables
• On the structure of covariant phase observables

Cited by in corpus (3)

• Symmetry, Reference Frames, and Relational Quantities in Quantum Mechanics
• A relational perspective on the Wigner-Araki-Yanase theorem
• Extreme Covariant Quantum Observables in the Case of an Abelian Symmetry Group and a Transitive Value Space