Calculation of the states of shallow donors in quantum wells in a magnetic field using plane wave expansion

A nonvariational method for calculating the states of shallow donors in quantum wells in a magnetic field is suggested. The method can be used in a wide range of magnetic fields, starting with zero. The method is based on the expansion of the electron-wave function in a basis of eigenfunctions of the Hamiltonian operator that describes a rectangular quantum well. The results obtained by this method are compared to the experimental data and to the results of calculations using different theoretical methods. The comparison shows that our method describes the observed spectrum of the shallow-donor states in quantum wells in a magnetic field with a higher accuracy than the methods used in the study by Chen et al.