Geodesic
Limits of applicability of the tight binding approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 103-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mathematical foundation of the tight binding approximation is given. Let $\lambda _0$ be a negative energy level of a real potential $q$. Then there exists an energy band for a one-dimensional chain with period $2T$ of the identical atoms which lies near $\lambda _0$. We study this band when $T$ tends to infinity. 
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A. L. Mironov; V. L. Oleinik. Limits of applicability of the tight binding approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 103-120. http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a9/

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