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Hydrogenic Impurity in Quantum Well Structures, 1p and 2s States Energy Calculations
Author(s) -
Hassan H. H.,
ElMeshad N.
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(199706)201:2<381::aid-pssb381>3.0.co;2-v
Subject(s) - excited state , impurity , atomic physics , bohr model , physics , quantum well , quantum , plane (geometry) , perturbation theory (quantum mechanics) , chemistry , quantum mechanics , geometry , mathematics , laser
Simple calculations of the 1p and 2s excited state energies of a shallow hydrogenic donor impurity placed in a quantum well structure are proposed. The impurity 2D eigenequation is approximated by a pair of coupled 1D eigenequations. The in‐plane equation is solved numerically by the shooting method. The other equation (the growth‐axis direction equation) is treated by the perturbation method. The accuracy of the resulting excited state energies compares well with previous calculations for impurities located close to the quantum well. In contrast to previous calculations, it is shown that the binding energy of the 1p state approaches that of the 2s state for an impurity located a few Bohr radii outside the well.