Abstract
The energy spectrum of electrons in narrow band gap semiconductor nanocrystals which have position dependent band gap in an external non-uniform electric field which compensate the position dependence of the band edge of the valence band potential is studied theoretically taking into account the non-parabolicity of electrons in dispersion laws. The exact solutions of the Kane equations with strong spin–orbital interaction are determined via the band-gap changes as a function of position. The band edge gap potential is taken as the ring-shaped non-spherical oscillator potential
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