QUANTUM AND STATISTICAL-MECHANICS OF ANYONS

被引:71
作者
SEN, D
机构
[1] Centre for Theoretical Studies, Indian Institute of Science, Bangalore
关键词
D O I
10.1016/0550-3213(91)90408-P
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We show that the hamiltonian of a system of identical anyons, when expanded about the bosonic limit-theta = 0 to first order in theta, contains a two-body repulsive delta-function potential. One consequence of this is that only the second virial coefficient in the equation of state has a cusp at that value of theta. The repulsive potential also affects the ground-state properties of an anyonic system.
引用
收藏
页码:397 / 408
页数:12
相关论文
共 28 条
[1]  
Abramowitz M.., 1972, HDB MATH FUNCTIONS
[2]   FRACTIONAL STATISTICS AND THE QUANTUM HALL-EFFECT [J].
AROVAS, D ;
SCHRIEFFER, JR ;
WILCZEK, F .
PHYSICAL REVIEW LETTERS, 1984, 53 (07) :722-723
[3]   STATISTICAL-MECHANICS OF ANIONS [J].
AROVAS, DP ;
SCHRIEFFER, R ;
WILCZEK, F ;
ZEE, A .
NUCLEAR PHYSICS B, 1985, 251 (01) :117-126
[4]   S-MATRIX FORMULATION OF STATISTICAL MECHANICS [J].
DASHEN, R ;
MA, SK ;
BERNSTEIN, HJ .
PHYSICAL REVIEW, 1969, 187 (01) :345-+
[5]   RANDOM-PHASE APPROXIMATION IN THE FRACTIONAL-STATISTICS GAS [J].
FETTER, AL ;
HANNA, CB ;
LAUGHLIN, RB .
PHYSICAL REVIEW B, 1989, 39 (13) :9679-9681
[6]  
GOLDHABER AS, 1984, PHYS LETT B, V214, P271
[7]  
HALPERIN BI, 1984, PHYS REV LETT, V52, P2390, DOI 10.1103/PhysRevLett.52.2390.4
[8]   STATISTICS OF QUASIPARTICLES AND THE HIERARCHY OF FRACTIONAL QUANTIZED HALL STATES [J].
HALPERIN, BI .
PHYSICAL REVIEW LETTERS, 1984, 52 (18) :1583-1586
[9]   IMPERFECT BOSE GAS WITH HARD-SPHERE INTERACTION [J].
HUANG, K ;
YANG, CN ;
LUTTINGER, JM .
PHYSICAL REVIEW, 1957, 105 (03) :776-784
[10]  
HUANG K, 1963, STATISTICAL MECHANIC