High Energy Levels of Wannier Exciton for Electron and Hole Spatially Separated in Adjacent 2D Quantum Layers

We analyze a Wannier-Mott exciton in which electron and hole are constrained to move in two separated and parallel 2D quantum layers. We assume that in the confinement direction z both electron and hole are in their respective groundstate of a harmonic potential. We find a ρ and ϕ-dependent Schrödinger equation which allows us to calculate the higher exciton eigenenergies and eigenfunctions within the WKB approximation.