Electron States in a Staircase Infinitely Deep Well in a Magnetic Field

Abstract

The electron states in a size-quantaized coated semiconductor wire in a uniform magnetic field applied parallel to the wire axis is considered. The wave functions are found and the equation for determination of energy eigenvalues depending both on magnetic field and parameters of the wire and the coating is obtained. The binding energy of a hydrogen-like impurity located on the wire axis is computed by the use of the variational method, and it is shown that this energy increases with the increase of the magnetic field.