ANYONIC PARTITION-FUNCTIONS AND WINDINGS OF PLANAR BROWNIAN-MOTION

被引:7
作者
DESBOIS, J [1 ]
HEINEMANN, C [1 ]
OUVRY, S [1 ]
机构
[1] UNIV PARIS 06,LPTPE,F-75005 PARIS,FRANCE
来源
PHYSICAL REVIEW D | 1995年 / 51卷 / 02期
关键词
D O I
10.1103/PhysRevD.51.942
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The computation of the N-cycle Brownian paths contribution FN(α) to the N-anyon partition function is addressed. A detailed numerical analysis based on a random walk on a lattice indicates that FN0(α)=k=1N-1[1-(N/k)α]. In the paramount three-anyon case, one can show that F3(α) is built by linear states belonging to the bosonic, fermionic, and mixed representations of S3. © 1995 The American Physical Society.
引用
收藏
页码:942 / 945
页数:4
相关论文
共 22 条
[1]  
[Anonymous], 1958, T AM MATH SOC
[2]   STATISTICAL-MECHANICS OF ANIONS [J].
AROVAS, DP ;
SCHRIEFFER, R ;
WILCZEK, F ;
ZEE, A .
NUCLEAR PHYSICS B, 1985, 251 (01) :117-126
[3]   WINDINGS OF RANDOM-WALKS [J].
BELISLE, C .
ANNALS OF PROBABILITY, 1989, 17 (04) :1377-1402
[4]  
BERNARD D, UNPUB SACLAY REPORT
[5]   THE CALOGERO MODEL - ANYONIC REPRESENTATION, FERMIONIC EXTENSION AND SUPERSYMMETRY [J].
BRINK, L ;
HANSSON, TH ;
KONSTEIN, S ;
VASILIEV, MA .
NUCLEAR PHYSICS B, 1993, 401 (03) :591-612
[6]   SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&
[8]  
COMTET A, 1990, J PHYS A, V23, P3699
[9]   TOPOLOGICAL 2-DIMENSIONAL QUANTUM-MECHANICS [J].
DEVEIGY, AD ;
OUVRY, S .
PHYSICS LETTERS B, 1993, 307 (1-2) :91-99
[10]   EQUATION OF STATE OF AN ANYON GAS IN A STRONG MAGNETIC-FIELD [J].
DEVEIGY, AD ;
OUVRY, S .
PHYSICAL REVIEW LETTERS, 1994, 72 (05) :600-603