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

<div>Quantum well-in-a-well (QWW) systems are constructed via a superposition of modified Poschl-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.