SIMPLE SHELL-MODEL FOR QUANTUM DOTS IN A TILTED MAGNETIC-FIELD

A model for quantum dots is proposed, in which the motion of a few ele ctrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is st udied. The spectrum and the wave functions are obtained by solving the classical problem. The ground state of the Fermi system is obtained b y minimizing the total energy with regard to the confining frequencies . From this a dependence of the equilibrium shape of the quantum dot o n the electron number, the magnetic field parameters, and the slab thi ckness is found.