XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Goce Chadzitaskos

Coherent states over open chain

We construct coherent states for $q$-deformed harmonic oscillators when $q$ is the $(M+1)^{th}$ root of the unity. For the construction we use para--Grassmann variables over $M$ dimensional complex space $\mbox{\bf C}^M $. Moreover, using the coherent states, Berezin symbols and the star product are expressed.