Pisot qq-coherent states quantization of the harmonic oscillator

We revisit the quantized version of the harmonic oscillator obtained through a qq-dependent family of coherent states. For each qq, 0

► Quantized version of the harmonic oscillator (HO) through a qq-family of coherent states.
► For q,0► qq-Deformed numbers are Fibonacci-like integer sequences (1/q1/q a quadratic unit Pisot number).
► We examine the main physical characteristics of the corresponding quantum oscillator.