The shifted l/N expansion method is used to solve the effective-mass Hamiltonian for an interacting electron-hole pair in a quantum dot. The ground-state energy of an exciton parabolically confined in a quantum dot as a function of quantum dot size is obtained. Comparison shows our results are in excellent agreement with those of Que.

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The dependence of the photoionization cross-section on photon energy is calculated for shallow donors in finite-barrier GaAs/Ga, -,AI,As quantum wells as well as the binding energy as a function of well width. The effect of a magnetic field is also considered.

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The energy spectra of parabolic quantum dots with two interacting electrons in a magnetic field are obtained. The transitions in the ground-state energy of the system are shown. The effectivemass Hamiltonian is solved using the 1 JN expansion method and good agreement is obtained when our results are tested against the exact diagonalization method.

The shifted 1/N expansion method has been used to study the relative Hamiltonian of two interacting electrons confined in a quantum dot. The eigenenergy spectra are obtained for any arbitrary ratio of Coulomb to confinement energies. Interesting features of the quantum dot spectra, such as the energy-level crossings and the removal of the degeneracy, are explained. Comparisons show that our results are in very good agreement with recent published ones calculated by exact and WKB methods.