二维格点中的算子
Propagators in two-dimensional lattices
摘要：
本文讨论二维晶体中离散传播子的计算及其在一些时间相关问题中的应用。计算这种核的方法由狄拉克矩阵的紧束缚表示和贝塞尔函数的推广提供。在第二量子化方案中研究了晶体片上点状分布的扩散效应。在最后一部分，传播者的简编。正方形，三角形和六边形阵列的情况下覆盖。
英文摘要：
This paper is devoted to the computation of discrete propagators in two-dimensional crystals and their application to a number of time dependent problems. The methods to compute such kernels are provided by a tight-binding representation of Dirac matrices and the generalizations of Bessel functions. Diffusive effects of point-like distributions on crystalline sheets are studied in a second quantization scheme. In the last part, a compendium of propagators is presented. The cases of square, triangular and hexagonal arrays are covered.
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