Useful Procedure for Computing the Lattice Green's Function‐Square, Tetragonal, and bcc Lattices
Useful Procedure for Computing the Lattice Green's Function‐Square, Tetragonal, and bcc Lattices
复制标题
计算格格林函数方格、四方格和 bcc 格子的有用过程
DOI：
10.1063/1.1665800
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发表时间：
1971
影响因子：
1.3
通讯作者：
T. Morita
中科院分区：
文献类型：
--
作者：
T. Morita
通过初等部分积分，为方晶格推导了递推关系，该递推关系从一对第一类和第二类椭圆积分沿对角线方向给出了晶格格林函数的值。然后，借助定义函数的差分方程，以连续的方式计算任意位置处的方晶格格林函数的值。讨论了该结果在四方晶格和体心立方晶格格林函数计算中的应用。
A recurrence relation, which gives the values of the lattice Green's function along the diagonal direction from a couple of the elliptic integrals of the first and second kind, is derived for the square lattice by an elementary partial integration. The values of the square lattice Green's function at an arbitrary site are then calculated in a successive way with the aid of the difference equation defining the function. Discussions are given of the application of this result to the calculation of the lattice Green's function of the tetragonal and body‐centered cubic lattices.