Thomas-Fermi method for computing the electron spectrum of highly doped quantum wires in n-Si

The application of TF method to calculate the electron spectrum in highly doped n-Si quantum wires is presented under finite temperatures, where the many-body effects, like exchange, are taken into account. The electron potential energy is calculated from a simple separate equation. Then the energy sub-levels and wave functions are simulated from the Schrödinger equation. Peculiarities of solving the Schrödinger equation in the case of the anisotropic effective mass are pointed out.