Coherent states for exactly solvable potentials
Abstract
A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials, e.g., Morse and PöschlTeller, is given. The method, a priori, is potential independent and connects with earlier developed ones, including the oscillatorbased approaches for coherent states and their generalizations. This approach can be straightforwardly extended to construct more general coherent states for the quantummechanical potential problems, such as the nonlinear coherent states for the oscillators. The time evolution properties of some of these coherent states show revival and fractional revival, as manifested in the autocorrelation functions, as well as, in the quantum carpet structures.
 Publication:

Physical Review A
 Pub Date:
 January 2004
 DOI:
 10.1103/PhysRevA.69.012102
 arXiv:
 arXiv:quantph/0309038
 Bibcode:
 2004PhRvA..69a2102S
 Keywords:

 03.65.Fd;
 Algebraic methods;
 Quantum Physics
 EPrint:
 11 pages, 4 eps figures, uses graphicx package