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- W2004055264 abstract "The convergence of the Green's function method is tested on a simple linear model, for which the exact position of the extra energy states is known. It is found that this computation technique gives very accurate results, under the condition that in the sums over the energy bands a sufficient number of terms is considered. On the other hand, the numerical data agree with the recently published critical studies on the energy band problem. The approximative results in the one-band model appear to be very unsatisfactory. Furthermore, the position of the extra energy levels is essentially determined by the bands lying nearest to the examined state. Die Konvergenz der Methode der Greenschen Funktion wird an einem einfachen, linearen Modell, für das die exakte Lage der zusätzlichen Energiezustände bekannt ist, getestet. Es wird gefunden, daß diese Berechnungstechnik sehr gute Ergebnisse unter der Bedingung bringt, daß in den Summen über die Energiebänder eine hinreichende Anzahl von Termen berücksichtigt wird. Andererseits stimmen die numerischen Werte mit kürzlich publizierten kritischen Untersuchungen des Energiebandproblems überein. Die Näherungsergebnisse in dem Einbandmodell scheinen sehr unbefriedigend zu sein. Die Lage der zusätzlichen Energieniveaus wird wesentlich bestimmt durch die Bänder, die den untersuchten Zuständen am nächsten liegen." @default.
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- W2004055264 date "1969-01-01" @default.
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- W2004055264 title "The Green's Function Method and the Many-Band Model in the Study of a Short-Range Perturbation" @default.
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- W2004055264 doi "https://doi.org/10.1002/pssb.19690350248" @default.
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