透明晶格及其孤立波
Transparent lattices and their solitary waves
摘要：
我们提供了一个家庭的透明紧束缚模型与非平凡的潜力和网站依赖的跳跃参数。讨论了它们在电磁谐振器、介质板和量子力学陷阱中的可行性。在论文的第二部分中，通过推广离散变量的超对称量子力学得到了这些阵列。该形式包括应用于周期阵列散射矩阵的有限差分达布变换。一个程序，用于构建一个层次的离散哈密顿指示和一个特定的双参数家庭。相应的电位和跳跃函数被确定为孤立波，指向离散的自旋广义的Korteweg-deVries家庭。
英文摘要：
We provide a familiy of transparent tight-binding models with non-trivial potentials and site-dependent hopping parameters. Their feasibility is discussed in electromagnetic resonators, dielectric slabs and quantum-mechanical traps. In the second part of the paper, the arrays are obtained through a generalization of supersymmetric quantum mechanics in discrete variables. The formalism includes a finite-difference Darboux transformation applied to the scattering matrix of a periodic array. A procedure for constructing a hierarchy of discrete hamiltonians is indicated and a particular biparametric family is given. The corresponding potentials and hopping functions are identified as solitary waves, pointing to a discrete spinorial generalization of the Korteweg-deVries family.
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