Symmetry Analysis of the Square Well Potential

Abstract Symmetry considerations are taken into account when a particle in square well potential is studied. This system may display natural degeneracy, accidental degeneracy or systematic depending on the depth of potential. In order to obtain solutions associated with an arbitrary algebraic discrete variable representation approach based Pöschl-Teller functions proposed. It proved that geometrical group C 4 v symmetry for case finite barrier. A similar analysis carried out rectangular commensurate sides. both cases projection crucial simplify calculations.