Optical properties and effect of magnetic field on energy spectra of a GaAs spherical quantum dot

In the present work, optical absorption coefficients and refractive index changes of a GaAs spherical quantum dot are investigated within the framework of the Coulomb plus linear harmonic potential. To this effect, analytical expressions for energy eigenvalues and corresponding eigen functions are obtained by solving the radial Schrodinger equation by applying the parametric Nikiforov-Uvarov method. Thereafter, using the density matrix formalism, expressions for linear and third-order nonlinear absorption coefficients along with refractive index changes are computed and plotted. Effect of the radius of quantum dot, the potential height and the incident light intensity on these quantities are further investigated and found in good agreement with literature results. The effect of external magnetic field on the energy spectra of the quantum dot is also presented.