  This paper is concerned with the construction of phase operators, phase
states, vector phase states, and coherent states for a generalized
Weyl-Heisenberg algebra. This polynomial algebra (that depends on real
parameters) is briefly described. The various states are defined on a finite-
or infinite-dimensional space depending on the parameters. This report
constitutes an introduction to three papers published by the authors in J.
Phys. A [43 (2010) 115303 and 45 (2012) 244036] and J. Math. Phys. [52 (2011)
082101]. See these three papers for the relevant references.
