??In this work, we modelled Coulomb blockade and Coulomb staircase phenomena starting from first-principles and taking advantage of Schrödinger-like problems knowledge. ??Coulomb blockade and staircase phenomena are physical effects related to the quantization of levels in a nanoparticle. In the past, experimental results concerning these phenomena have been modelled with either semiclassical or circuit-like models, which derive electrical parameters such as capacitances and resistances in order to reproduce the measured currents trends. ???? ??Our approach blossoms in the framework of quantum mechanics. As a first step, we studied a simplified model, which is often used to describe a similar quantum structure, in which discretized energy levels exist in the region enclosed between two one-dimensional potential energy barriers.