Harmonic oscillator in QM may be written in terms of eigen-value raising(B) and lowering(A) operators s.t. AB-BA=1 and  A has uncountable number of normalizable(coherent) states' Many coherent states for other Hamiltonians & q-algebras are known.  For A the number content of Coherent states is is given by Poisson distribution,whose normalization factor is an exponential. From this Planck distribution can be deduced( see,e.g. de ter Haar). Object is to find for other Coherent states  Poisson/exponential analogues as for A, & find their Planck -like distributions. .Planck distribution requires a "heat bath" & has zero chemical potential. Idea is study such thermal aspects, with possible applications..