An analysis of 1-dimensional quantum device is presented by comparing between two possible mathematical methods. The first is a continuous scheme where both the mass and the potential vary along the Z-axis, while the second one presents segmentation in three main sections where the mass remains constant along each phase. These analysis where made with the help of a Computer Algebra Software (CAS) due to its extensive mathematical development. A discussion about both schemes and its possible applications to photonic devices are presented.