Conical quantum dot: Electronic states and dipole moment

The electronic states in a conical quantum dot in the framework of the adiabatic approximation as well as the combined approach with the perturbation theory have been considered. The obtained results have been compared with the results of numerical methods–the finite element and the Arnoldi methods. The interpolation formula for the energy correction and its dependence on the geometric parameters of the conical quantum dot have been obtained. The comparing of the wave functions obtained by different methods and the range of applicability of different methods have been defined. The dependence of the z-component of the dipole moment on the geometric parameters of the structure has been considered.