Adiabatic description of nonspherical quantum dot models

Details Adiabatic description of nonspherical quantum dot models Adiabatic description of nonspherical quantum dot models

2011-04-12

arxiv.org/abs/1104.2292v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

Within the effective mass approximation an adiabatic description of spheroidal and dumbbell quantum dot models in the regime of strong dimensional quantization is presented using the expansion of the wave function in appropriate sets of single-parameter basis functions. The comparison is given and the peculiarities are considered for spectral and optical characteristics of the models with axially symmetric confining potentials depending on their geometric size making use of the total sets of exact and adiabatic quantum numbers in appropriate analytic approximations.

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