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Asymptotic behavior of energy band associated with a negative energy level
Authors:V. L. Oleinik
Affiliation:(1) Institut für Theoretische Physik, Freie Universitär Berlin, D-1000 Berlin 33, West Germany
Abstract:The mathematical foundation of the tight binding approximation is given. If lambda0 is a negative energy level of a real potentialq, then there exists an energy band for a one-dimensional chain with period 2T of the same atoms which lies near lambda0. We study this band whenT tends to infinity.On leave of absence from the Department of Physics, Leningrad State University, Leningrad, USSR.
Keywords:Tight binding approximation  negative energy level  one-dimensional chain  energy band
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