We study the properties of Fibonacci numbers and the transparency of clusters for electrons at some values of the energy. For the mth Fibonacci number F-m, a set of divisors are obtained by F-m/k = right perpendicular F-m/k left perpendicular, 1 < k less than or equal to F-m. Interestingly, the numerical and analytical results show that any new divisors of the mth Fibonacci sequence will appear periodically in the following I:Fibonacci sequence. Furthermore, in the mixing Fibonacci system, we perform computer simulations and analytical calculations to study the transparent properties and spatial distributions of electronic states with the energies determined by the divisors of Fibonacci systems. The results show that the transmission coefficients are unity and the corresponding wave functions have periodic-like features. We report that an infinite number of one-dimensional disordered lattices, which an composed of some specific Fibonacci clusters, exhibit an absence of localization. [S0163-1829(98)04325-2]. [References: 34]
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机译:我们研究了斐波纳契数的性质以及在某些能量值下电子团簇的透明度。对于第m个斐波那契数F-m,通过F-m / k =右垂直F-m / k左垂直,小于或等于F-m 1 展开▼