Realignment of energy spectra of modified Pöschl-Teller potentials in a composite quantum well-in-a-well system

Abstract

Quantum well-in-a-well (QWW) systems are constructed via a superposition of modified Pöschl-Teller potential wells. The systems are constructed such that the bound states of the component side wells correspond exactly to the excited states of the constituent center well. The energy spectra of these systems are obtained using the shooting method. The contribution of each component well on the total number of bound states of the constructed composite system is presented. Results show that the middle component well is the dominant contributor to the total number of bound states of the QWW system. All contributions are accounted for, however, they are shifted relative to the initial energy level.