A new solvable one-dimensional crystal model
L Wille; H Verschelde; P Phariseau; L Wille; Rijksuniv. Gent, Gent, Belgium; H Verschelde; Rijksuniv. Gent, Gent, Belgium; P Phariseau; Rijksuniv. Gent, Gent, Belgium
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1983-12-21
Аннотация:
The low-lying energy levels of electrons moving in a potential of the form V(x)=(1- gamma <sup>2</sup>)/(1-2 gamma cos x+ gamma <sup>2</sup>) have been calculated. In the limits gamma to 0 and gamma =1, well known results are recovered. The bandgaps are studied as a function of gamma .
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