  In this paper, we study supersymmetry in quantum mechanics using the
generalized uncertainty principle (GUP), or in other words, generalized
supersymmetry in quantum mechanics. We construct supersymmetry in the
generalized form of the momentum operator, which is derived from GUP. By
generalizing the creation and annihilation operators, we can transform the
supersymmetry into a generalized state. In the following, we address the
challenge of solving the Schr\"odinger equation for the generalized
Hamiltonian. To overcome this difficulty, we employ perturbation theory to
establish a relationship between the creation and annihilation operators. By
solving this equation analytically and utilizing wave functions and energy
levels, we can generate new potentials using the creation and annihilation
operators of the wave functions and energy levels for the newer potentials.
