This article is cited in 6 papers

Limits of applicability of the tight binding approximation

A. L. Mironov, V. L. Oleinik

St. Petersburg State University, Faculty of Physics

Abstract: 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.

Received: 22.02.1993

 English version: Theoretical and Mathematical Physics, 1994, 99:1, 457–469

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