Modelling of confinement potentials in quantum dots

The problem of confinement potential profile in quantum dots has been studied. We have proposed a new class of the confinement potentials, called the power-exponential potentials, which are sufficiently flexible to approximate the realistic confinement potentials in the quantum dots. The one-electron energy spectra for the power-exponential potentials of the cylindrical symmetry have been calculated by the high-order finite-difference method. We have discussed the properties of the spectra and the applicability of the power-exponential potentials to the quantum dots.