Coherent states and related quantizations for unbounded motions
arXiv:1201.0955 · doi:10.1088/1751-8113/45/12/125306
Abstract
We build coherent states (CS) for unbounded motions along two different procedures. In the first one we adapt the Malkin-Manko construction for quadratic Hamiltonians to the motion of a particle in a linear potential. A generalization to arbitrary potentials is discussed. The second one extends to continuous spectrum previous constructions of action-angle coherent states in view of a consistent energy quantization.