有界大势垒阵列的带隙结构和奇异性
The band-gap structure and the singular character of the bounded large array of potential barriers
摘要：
有界一维多垒势在其总长度$L$和总间隔与总宽度之比$c$一定的情况下，表现出混沌、相变和传输几率为1的迹象.有界多垒势与无限大Kronig-Penney系统一样，在整个空间区域上都有带隙结构。但与Kronig-Penney系统不同的是，在Kronig-Penney系统中，能隙在大能量下消失，而这些能隙在$L$和$c$的某些值下不会消失。能量是不连续的，甚至在光谱的部分中根本没有间隙。这些结果意味着有界多势垒系统的能谱是奇异的。
英文摘要：
The bounded one dimensional multibarrier potential shows signs of chaos, phase transition and a transmission probability of unity for certain values of its total length $L$ and the ratio $c$ of total interval to total width. Like the infinite Kronig-Penney system, which is arranged along the whole spatial region, the bounded multibarrier potential has a band-gap structure in its energy spectrum. But unlike the Kronig-Penney system, in which the gaps disappear for large energies, these gaps do not disappear for certain values of $L$ and $c$. The energy is discontinuous even in parts of the spectrum with no gaps at all. These results imply that the energy spectrum of the bounded multibarrier system is singular.
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