论文标题

有限的周期性$δ-δ$梳子

Finite periodic $δ-δ'$ comb

论文作者

Hryhorchak, O. I., Pastukhov, V. S.

论文摘要

通过两种经典方法的帮助,基于直接求解sr \“ {odinger}等式和量子波阻抗的方法,可以通过两种经典方法来解决一个有效的周期性$δ-δ'$梳子。证明了违反周期性会导致在频带间隙中形成能量水平的违规(允许在表面水平上的范围)。适用于描述实际量子机械系统的描述,并更好地了解涉及边界依赖状态的系统的物理特性,尤其是边界依赖性电子状态对低维系统物理性质的影响。

A finit periodic $δ-δ'$ comb was solved by the help of both classical approach based on a direct solving of a Sr\"{odinger} equation and a quantum wave impedance method. It was demonstrated that the violation of a periodicity leads to the formation of energy levels in band gaps. The expresion for a surface levels (Tamm's levels) were found in this model system. Obtained results allow extending the scope of theoretical models which are applicable for a describing real quantum mechanical systems as well as better understanding the physical properties of systems in which the boundary dependent states are involved, especially the influence of boundary dependent electronic states on the physical properties of low-dimensional systems.

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