Exciton states in semiconductor quantum dots in the modified effective mass approximation

A new modified effective mass approximation is suggested to describe the excitonic energy spectrum of quantum dots of radii a comparable to the exciton Bohr radius a(ex)(0). It is shown that, for quantum dots simulated by infinitely deep potential wells, the effective mass approximation is appropriate for describing excitons in quantum dots of radii a approximate to a(ex)(0), if the reduced effective mass of the excitons, mu, is considered as a function of the radius of the quantum dot a, mu = mu(a).