Excition 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 ≈ a _ex ⁰ , if the reduced effective mass of the excitons, μ, is considered as a function of the radius of the quantum dot a, μ = μ(a).