Exact evaluation of the Green function for the anisotropic simple cubic lattice

被引:11
作者
Delves, RT [1 ]
Joyce, GS [1 ]
机构
[1] Kings Coll London, Wheatstone Phys Lab, London WC2R 2LS, England
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 08期
关键词
D O I
10.1088/0305-4470/34/8/101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The lattice Green function at the origin of the simple cubic lattice with anisotropic nearest-neighbour interactions is evaluated exactly in terms of a product of two complete elliptic integrals of the first kind.
引用
收藏
页码:L59 / L65
页数:7
相关论文
共 22 条
[1]   DIPOLE-DIPOLE INTERACTION IN SIMPLE LATTICES [J].
BERLIN, TH ;
THOMSEN, JS .
JOURNAL OF CHEMICAL PHYSICS, 1952, 20 (09) :1368-1374
[2]   THE SPHERICAL MODEL OF A FERROMAGNET [J].
BERLIN, TH ;
KAC, M .
PHYSICAL REVIEW, 1952, 86 (06) :821-835
[3]  
Borwein J. M., 1987, PI AGM STUDY ANAL NU
[4]   DISCRETE POTENTIAL THEORY [J].
DUFFIN, RJ .
DUKE MATHEMATICAL JOURNAL, 1953, 20 (02) :233-251
[5]  
Erdelyi A., 1953, Higher Transcendental Functions, California Institute of Technology. Bateman Manuscript Project, V1
[6]   NOTE ON LATTICE GREENS FUNCTION FOR SIMPLE CUBIC LATTICE [J].
HORIGUCHI, T ;
MORITA, T .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (11) :L232-L235
[7]  
Ince E. L., 1927, ORDINARY DIFFERENTIA
[8]   DEFECTS ON A DIPOLE LATTICE [J].
ISIHARA, A .
JOURNAL OF CHEMICAL PHYSICS, 1957, 27 (05) :1174-1179
[9]  
IWATA G, 1979, NAT SCI REP OCHANOMI, V30, P17
[10]   LATTICE GREEN-FUNCTION FOR SIMPLE CUBIC LATTICE [J].
JOYCE, GS .
JOURNAL OF PHYSICS PART A GENERAL, 1972, 5 (08) :L65-+