Abstract

A purely algebraic perturbation theory based on deforming the generators of the dynamical group SU(1, 1) is applied to the l = 0 Morse potential problem with $V(r) = V_0 \left[ {e^{ - 2ar} - 2be^{ - ar} } \right]$ . In particular, perturbations of the form $(e^{ - ar} )^N $ and $(e^{ - ar} )^{ - N} $ are treated explicitly