Abstract
The described method starts from the assumption that each valency electron in a crystal is subject to the following potential: inside the atomic sphere surrounding each atom this potential is spherically symmetrical while outside this sphere it is constant. The corresponding Schrödinger equation is solved by means of the perturbation theory with the help of certain approximate wave functions. The parameters determining the spherically symmetrical potential inside the sphere are determined from the values of energy for the lowest energy level, calculated by statistical methods.
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Matyáš, Z. A new method for calculating the energy levels of electrons in solids. Czech J Phys 1, 3–9 (1952). https://doi.org/10.1007/BF01687570
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DOI: https://doi.org/10.1007/BF01687570