The symmetry of donor-bound electron wavefunctions in quantum wells

Author: Roberts R.G.   Harrison P.   Hagston W.E.  

Publisher: Academic Press

ISSN: 0749-6036

Source: Superlattices and Microstructures, Vol.23, Iss.2, 1998-02, pp. : 289-296

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Abstract

In order to investigate the symmetry (i.e. sphericity) of donor-bound electron wavefunctions in quantum wells, we have invoked a two-parameter trial wavefunction. One parameter is the Bohr radius lambda, whilst the other is the eccentricity parameter zeta. The latter incorporates the effect of the quantum well (QW) on the carrier motion in the growth (i.e. the z) direction. Working within the envelope function approximation it is shown that the donor wavefunction has the form of a prolate spheroid. However, calculations of the ratio lambda/zeta shows that it is the value of lambda which determines the essential symmetry of the wavefunction.Copyright 1998 Academic Press Limited