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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 1, Pages 103–120
(Mi tmf1570)
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This article is cited in 5 scientific papers (total in 5 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
Citation:
A. L. Mironov, V. L. Oleinik, “Limits of applicability of the tight binding approximation”, TMF, 99:1 (1994), 103–120; Theoret. and Math. Phys., 99:1 (1994), 457–469
Linking options:
https://www.mathnet.ru/eng/tmf1570 https://www.mathnet.ru/eng/tmf/v99/i1/p103
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Abstract page: | 616 | Full-text PDF : | 209 | References: | 79 | First page: | 1 |
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