Date of Award
The bound eigenstates of an electron inside a pair of quantum dots embedded on an infinite quantum wire are examined using the method of particular solutions. The eigenstates of a two-electron system in the same structure are examined perturbatively using wavefunction expansions for the one-electron eigenstates. The stability of the two-electron eigenstates is evaluated and compared with other theoretical results. It is found that stable bound states in the continuum exist for two electrons confined to this geometry.
Tuegel, Thomas I., "Modeling Bound States in the Continuum for Multiple Electrons in a Quantum Dot Pair" (2010). Undergraduate Honors Thesis Collection. Paper 76.