A Chenaghlou

TL;DR: In this paper, it was shown that the quantum states of Morse potential represent an infinite-dimensional Lie algebra the so-called Morse algebra, and the Barut-Girardello coherent states are constructed as a linear combination of quantum states corresponding to the Morse potential.

TL;DR: Using the associated hypergeometric differential equation, the bound states corresponding to a hierarchy of the radial potential have been analyzed in this paper, where it is shown that these bound states realize an extended supersymmetry structure and an analytic solution for a special case for which the parameter c is expected to be in terms of l(l + 1) is also derived.

TL;DR: In this paper, the associated hypergeometric functions in terms of two non-negative integers are introduced, and their corresponding differential equation is factorized into a product of first-order differential operators by four different ways as shape invariance equations.

TL;DR: In this article, the associated Laguerre functions in terms of two non-negative integers were introduced and simultaneously and separately realization of the laddering equations with respect to each of the integers by means of two pairs of ladder operators.

TL;DR: In this article, the associated Bessel polynomials in terms of two nonnegative integers were introduced and under an integrability condition they simultaneously factorized their corresponding differential equation into a product of the ladder operators by four different ways as shape invariance symmetry equations.