New Soluble Energy Band Problem

New Soluble Energy Band Problem
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新的可溶能带问题

DOI:
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发表时间:
1958
期刊:
影响因子:
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通讯作者:
F. Scarf
F. Scarf
中科院分区:
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文献类型:
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作者:
F. Scarf

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求解了V(x)= - V0 csc ~ 2(πx/a)的薛定谔方程。E(k)和有效质量与波函数一起被检查沿着,参数(V0 a2)的不同值。我们发现,即使当m*<$m,m*<$∞时,波函数也有中间形式,弱束缚和紧束缚近似在这些区域都是无效的。
The Schrodinger equation for V(x) = - V0 csc2(πx/a) is solved. E(k) and the effective mass are examined along with the wave functions for various values of the parameter (V0a2). It is found that the wave functions have intermediate forms even when m* ≈ m, m* ≈ ∞, and that the weak- and tight-binding approximations are not valid in these regions.