Infinite quantum well: a coherent state approach
  A new family of 2-component vector-valued coherent states for the quantum particle motion in an infinite square well potential is presented. They allow a consistent quantization of the classical phase space and observables for a particle in this potential. We then study the resulting position and (well-defined) momentum operators. We also consider their mean values in coherent states and their quantum dispersions. 
P. L. Garcia de Leon, J. P. Gazeau and J. Queva