Excited binomial states for the pseudoharmonic oscillator

We have examined some properties of a linear superposition of the binomial states (BSs), in the basis of Fock - vectors which correspond to the pseudoharmonic oscillator (PHO). These states have all the properties of usual coherent states (CSs). We have defined the excited binomial states (EBSs) for the PHO, by repeatedly application of the SU(1, 1) raising operator on the non-excited BSs, which is considered the "fundamental" state. Also we have examined the expectation values in the EBSs - basis, especially of the integer powers of the number operator, which is useful to calculate the Mandel's parameter. Depending on the value of this parameter, we can conclude about the statistical behavior of the EBCs: sub-Poissonian, Poissonian or super-Poissonian.