Coherent states in a finite-dimensional Hilbert space

Abstract
We construct, according to Glauber’s definition, the coherent states in a univocally specified finite-dimensional Hilbert space. Their analytical form is obtained as an analytical solution of the problem raised by Bužek et al. [Phys. Rev. A 45, 8079 (1992)]. The phase properties of the coherent states are studied within the Pegg-Barnett formalism.