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The symmetry of donor–bound electron wavefunctions in quantum wells

✍ Scribed by R.G. Roberts; P. Harrison; W.E. Hagston

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
141 KB
Volume
23
Category
Article
ISSN
0749-6036

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✦ Synopsis

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 λ, whilst the other is the eccentricity parameter ζ . 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 λ/ζ shows that it is the value of λ which determines the essential symmetry of the wavefunction.

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