Numerical investigations of symmetric embedded quantum well systems using the shooting method and transfer matrix technique

Embedded quantum well systems are constructed via a superposition of modified Pöschl-Teller (MPT) potentials. To illustrate the advantages and/or disadvantages of each system, a comparison is made on their energy spectra and scattering properties. The bound states of each system are obtained using the numerical shooting method. The accuracy of this method depends on the step length δz, which can be completely controlled, allowing an improved comparison with analytical solutions to be achieved.