Abstract
In the model of a zero-radius potential the equation for the bound state in magnetic and electric fields is obtained. The electric field F is directed normal to the surface of a dimension-limited system, and the magnetic field is directed along the axis of the spatial quantization or along the surface of a parabolic quantum well (QW). The dependences of the binding energy (BE) on the magnetic field H, thickness of the QW, position of impurity in the QW and direction of the electric field F have been investigated. It is shown in particular that the BE increases with the increase of H, and the energy of a localized state decreases with increase of F. The results are compared with BE, obtained with the use of the variational method.
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