@article {jacosalem2009a,
	title = {Numerical investigations of symmetric embedded quantum well systems using the shooting method and transfer matrix technique},
	journal = {AIP Conf. Proc.},
	volume = {1119},
	year = {2009},
	pages = {219},
	abstract = {<div>Embedded quantum well systems are constructed via a superposition of modified P{\"o}schl-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. A systematic approach of finding the eigenenergies En (n = 0, 1, 2, 3, {\textellipsis}) is also developed in this work. The approach utilizes the established bisection method{\textemdash}a root-finding algorithm that repeatedly divides an interval in half then selects the subinterval in which a root exists. Here selective bisection is implemented for computational efficiency. This entire procedure in finding the solutions of the Schr{\"o}dinger equation is tested for a single MPT well where the solution is analytically known. The result shows a perfect agreement between the numerical and the analytical method. The transfer matrix approach is used to obtain the transmission probability of a particle passing through the embedded quantum well systems. This technique also shows a perfect agreement with the analytical solution.</div>},
	doi = {http://dx.doi.org/10.1063/1.3137825},
	author = {Naomi Jane Jacosalem and Cristine Villagonzalo}
}
@inproceedings {jacosalem-spp-2008,
	title = {Realignment of energy spectra of modified P{\"o}schl-Teller potentials in a composite quantum well-in-a-well system},
	booktitle = {Proceedings of the 26th Samahang Pisika ng Pilipinas Physics Congress},
	year = {2008},
	month = {22{\textendash}24 Oct 2008},
	pages = {SPP-2008-021},
	address = {University of the Phlippines Baguio, Baguio City},
	abstract = {<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. 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.</div>},
	author = {Naomi Jane Jacosalem and Cristine Villagonzalo}
}
