Generalized coherent states for systems with degenerate energy spectra - art. no. 042104

A construction of Gaussian Klauder coherent states for systems with degener ate energy spectra is presented. Of special interest are the cases of truly accidental degeneracy that do not arise from a hidden or explicit symmetry . This is the case for a particle in a two-dimensional square box. In this case, the degeneracy results from the number of different ways an integer c an be expressed as the sum of two squares. It is shown how to manage this s ituation and produce generalized coherent states that can mimic classical p article behavior for many collisions with the box walls.