Supersymmetry has been applied to obtain the solution of several kinds of quantum problems. For example, it allows us to solve the Schrödinger equation and to introduce the creation and annihilation operators. In this work, the method to obtain the generalized ladder operators is revised and it is used to determine the energy eigenvalues and the eigenfunctions for two potentials, a particle in a box and the one-dimensional Rosen-Morse potential.
Keywords:
supersymmetry; quantum mechanics; shape invariance; ladder operators; particle in a box; Rosen-Morse potential