SOLUTION OF DIMER PROBLEM BY S-MATRIX METHOD

被引:4
作者
FAN, C
机构
[1] Institute for Theoretical Physics, State University of New York, Stony Brook, NY
关键词
D O I
10.1063/1.1664915
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The S-matrix approach of Hurst is applied to rederive the partition function for the dimer problem. By using every two lattice sites as a unit cell and a set of six creation and annihilation operators at each cell, the expression for the partition is reduced to a form equivalent to the vacuum expectation value of an S matrix with a quadratic interaction Lagrangian.
引用
收藏
页码:868 / &
相关论文
共 12 条
[1]  
[Anonymous], 1964, ORDER DISORDER PHENO
[2]  
BECKENBACH EF, 1964, APPLIED COMBINATO ED, pCH4
[3]   ISING MODEL WITH SECOND-NEIGHBOR INTERACTION .I. SOME EXACT RESULTS AND AN APPROXIMATE SOLUTION [J].
FAN, C ;
WU, FY .
PHYSICAL REVIEW, 1969, 179 (02) :560-&
[4]   STATISTICAL MECHANICS OF DIMERS ON A PLANE LATTICE [J].
FISHER, ME .
PHYSICAL REVIEW, 1961, 124 (06) :1664-&
[5]   NEW APPROACH TO ISING MODEL .2. [J].
GIBBERD, RW ;
HURST, CA .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (07) :1427-&
[6]   NEW APPROACH TO ISING PROBLEM [J].
HURST, CA .
JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (02) :305-&
[7]   STATISTICS OF DIMERS ON A LATTICE .1. NUMBER OF DIMER ARRANGEMENTS ON A QUADRATIC LATTICE [J].
KASTELEYN, P .
PHYSICA, 1961, 27 (12) :1209-+
[8]   DIMER STATISTICS AND PHASE TRANSITIONS [J].
KASTELEYN, PW .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :287-&
[9]  
LIEB EH, 1968, J MATH PHYS, V8, P2339
[10]  
MONTROLL EW, 1964, APPLIED COMBINATORIA, pCH4