The quantum theory of conductivity of semiconductor objects, to which thequantum wells, wires and dots concern, is constructed. Average values ofcurrent and charge densities, induced by a weak electromagnetic field, arecalculated. It is shown, that in both cases average current and chargedensities contain two contributions, first of which is expressed throughelectric field, and second - through a spatial derivative of electric field.Appropriate expressions for the conductivity tensor, dependent on coordinatesand applicable to any spatially-heterogeneous systems, are deduced. The resultsmay be used in the theory of secondary light radiation from low-dimensionalobjects in cases of monochromatic light and light pulses.
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