Abstract
One may suggest a variety of direct and convincing proofs for the validity of the effective mass approximation in the physics of semiconductors. Particularly elegant among them is the argumentation based on the prediction and observation of hydrogen-like states of Coulomb center-bound carriers and of the Wannier-Mott excitons. One can say without overstating the case that the physics of shallow impurity centers and excitons has had a rebirth with the development of high-quality heterostructures with microscopically thin layers of compositional materials. A need has been found for calculating Coulomb states with account for the superstructure potential, for the difference between the band parameters in adjoining layers, etc.
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Ivchenko, E.L., Pikus, G.E. (1997). Localized Electron States and Excitons in Heterostructures. In: Superlattices and Other Heterostructures. Springer Series in Solid-State Sciences, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60650-2_5
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DOI: https://doi.org/10.1007/978-3-642-60650-2_5
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