Square potential wells have been extensively explored, both in terms of application and teaching introduction to quantum mechanics. There are very few such potential who are treated analytically in the literature, although various geometries involving these potential wells study the Double Square Well Asymmetric Unidimensional that has potential for a variety of applications, for example, the atomic trapping due to the difference in depths between neighboring wells. The wave functions and energy eigenvalues are determined explicitly for a resonant case and others not resonant.
double square well asymmetric unidimensional; Schrödinger equation; energy eigenvalues
