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High Energy Levels of Wannier Exciton for Electron and Hole Spatially Separated in Adjacent 2D Quantum Layers
Author(s) -
Reyes J. A.,
del CastilloMussot M.
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199709)203:1<143::aid-pssb143>3.0.co;2-6
Subject(s) - wkb approximation , exciton , eigenfunction , physics , electron , biexciton , schrödinger equation , quantum mechanics , wannier function , condensed matter physics , eigenvalues and eigenvectors
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.