Потенціал поля зарядженого квантового нанокільця

Abstract

As a rule, the potential that confines the carriers of charge has a model character and concerns the localization of particles inside the quantum rings (QR). In practice some spatial charge turns off accumulating there and I can be controlled by special electrodes. Formed by this charge potential is determining factor for quantum dynamics of carriers belonged to the surrounding QR matrix. But studies of energetic spectra created by the appointed potential can not be considered as completed yet because of the applied model potentials are still very distant from reality. That is why in this work the potential of electric field created by uniform distributed in QR charge has been found beginning of the basic principles. The Poisson’s equation was resolved with Fourier’s transformation technique and the potential has been expressed in terms of elliptic integrals. Their parameters were established for small as well as large distances of QR.