Coherent states for systems with discrete and continuous spectrum

For a system with one degree of freedom, coherent states that are parametri zed by classical canonical action-angle variables are introduced. These sta tes also possess continuity of labelling, a resolution of unity, and tempor al stability, The insistence on canonical action-angle variables strongly r estricts any remaining arbitrariness in the coherent state definition. Such states are introduced for semibounded Hamiltonian operators having either a discrete or a continuous spectrum. Hamiltonians that have both discrete a nd continuous pans in their spectrum are also discussed.