A REFORMULATION OF THE FEYNMAN CHESSBOARD MODEL

被引：26

作者：

ORD, GN

机构：

[1] Department of Applied Mathematics, University of Western Ontario, London, N6A 5B9, Ontario

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 1-2期

关键词：

FEYNMAN CHESSBOARD MODEL; QUANTUM STOCHASTICS; ISING CHAINS;

D O I：

10.1007/BF01060086

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The chessboard model is reviewed and reformulated as a four-state process. In this formulation both the Dirac propagator of the chessboard model and the partition function of the associated Ising chain are observed to be projections of a single matrix of partition functions onto two orthogonal eigenspaces. This helps clarify the role played by the phase associated with Feynman paths in this model.

引用

收藏

页码：647 / 659

页数：13

相关论文

共 13 条

[1] THE DIRECT CORRELATION-FUNCTION OF A ONE-DIMENSIONAL ISING-MODEL [J].

BORZI, C ;

ORD, G ;

PERCUS, JK .

JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (1-2) :51-66

[2]

Feynman R., 1965, QUANTUM MECH PATH IN

[3] A RELATIVISTIC CUT-OFF FOR CLASSICAL ELECTRODYNAMICS [J].

FEYNMAN, RP .

PHYSICAL REVIEW, 1948, 74 (08) :939-946

[4] FEYNMAN RELATIVISTIC CHESSBOARD AS AN ISING-MODEL [J].

GERSCH, HA .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1981, 20 (07) :491-501

[5] QUANTUM STOCHASTICS - THE PASSAGE FROM A RELATIVISTIC TO A NON-RELATIVISTIC PATH INTEGRAL [J].

JACOBSON, T ;

SCHULMAN, LS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (02) :375-383

[6] FERMI-BOSE TRANSMUTATION - FROM SEMIFLEXIBLE POLYMERS TO SUPERSTRINGS [J].

KHOLODENKO, AL .

ANNALS OF PHYSICS, 1990, 202 (01) :186-225

[7] ENERGETICS OF A DISCRETE INTERFACE [J].

ORD, G ;

PERCUS, JK ;

ZHANG, MQ .

NUCLEAR PHYSICS B, 1988, 305 (02) :271-285

[8] HIGHER SPIN ONE-DIMENSIONAL ISING LATTICE IN ARBITRARY EXTERNAL-FIELD [J].

PERCUS, JK .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (06) :1162-1167

[9] ONE-DIMENSIONAL ISING-MODEL IN ARBITRARY EXTERNAL-FIELD [J].

PERCUS, JK .

JOURNAL OF STATISTICAL PHYSICS, 1977, 16 (03) :299-309

[10] ONE-DIMENSIONAL INHOMOGENEOUS ISING-MODEL WITH PERIODIC BOUNDARY-CONDITIONS [J].

PERCUS, JK ;

ZHANG, MQ .

PHYSICAL REVIEW B, 1988, 38 (16) :11737-11740