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The effect of a magnetic field on the electrical polarisability of a shallow donor placed at the centre of a semiconductor spherical microcrystallite is studied in the framework of the effective mass approximation and using a variational approach. Variations of the polarisability of the system versus the crystallite radius and magnetic field strength are analysed in the infinite confinement potential case.

We present a theoretical study of the simultaneous effects of magnetic and electric fields on the ground state energy of an exciton confined in CdS and CdSSe spherical quantum dots. The effect of the quantum confinement is described by an infinitely deep potential well in the framework of the effective mass approximation. The effects of the external perturbations are treated within the Hassé variational method. The variations of the diamagnetic coefficient D are determined as a function of the dot radius R. The influence of the quantum confinement and the magnetic field strength on the excitonic polarisability α is analysed.

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