  The tunability of binding energies is explored by modulating a finite
dielectric slab width in a planar, three dielectric system. After verifying the
equivalence of the field method and method of images, three different
configurations are explored for possible control of electronic binding energy:
A vacuum gap between a Schottky diode, noble gas layers on a metal wall, and an
electron confined between two metal plates. In each, varying the width of the
finite, middle dielectric was shown to provide control over the binding energy
and Bohr radius of the electron. In the case of an electron confined between
two plates, it was found that the bound states smoothly connect to the box
states as the gap separation was varied. Lastly, forces on the two parallel
plates were examined for a possible source of significant repulsion. All
numerical calculations were done in MATLAB.
