Journal of Physics A Mathematical and General
The correspondence of two definitions of coherent states in a particular system
M. G. A. Crawford
Abstract
Many generalizations of the harmonic oscillator coherent states are known in the literature. One such generalization by Nieto has been applied to a particular system known as the `harmonic oscillator with centripetal barrier'. In this paper, it is shown that Nieto's generalization in this system may be described in terms of a recent generalization due to Klauder. This is of considerable interest since the approaches to generalizing coherent states differ significantly.