PERTURBATIVE GROUND-STATE ENERGY OF 3 ANYONS IN A HARMONIC POTENTIAL

被引:30
作者
KHARE, A
MCCABE, J
机构
[1] Division de Physique Théorique2 2 Unité de Recherche, Universités Paris 11 et Paris 6 associée au CNRS., IPN
关键词
D O I
10.1016/0370-2693(91)90180-X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the ground state energy of three anyons in a harmonic potential near fermionic statistics. The energy is given by E0(alpha) = omega[4 + 1.300-alpha-2 + O(alpha-3)], where 4-omega is the ground state energy of three fermions. We compare this with the energy of the exact eigenstate that interpolates to the ground state at alpha = 1 (bosonic statistics). There is a cross-over between ground states at alpha = 0.3 where the two results coincide.
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页码:330 / 338
页数:9
相关论文
共 27 条
[1]   STATISTICAL-MECHANICS OF ANIONS [J].
AROVAS, DP ;
SCHRIEFFER, R ;
WILCZEK, F ;
ZEE, A .
NUCLEAR PHYSICS B, 1985, 251 (01) :117-126
[2]   SEMICLASSICAL 2-ANYON AND 3-ANYON PARTITION-FUNCTIONS [J].
BHADURI, RK ;
BHALERAO, RS ;
KHARE, A ;
LAW, J ;
MURTHY, MVN .
PHYSICAL REVIEW LETTERS, 1991, 66 (05) :523-526
[3]   FLUX-CARRYING FERMIONS AND THE 2ND VIRIAL-COEFFICIENT [J].
BLUM, T ;
HAGEN, CR ;
RAMASWAMY, S .
PHYSICAL REVIEW LETTERS, 1990, 64 (07) :709-712
[4]  
CARNRIGHT GS, 1990, SCIENCE, V247, P1197
[5]   PERTURBATIVE EQUATION OF STATE FOR A GAS OF ANYONS [J].
COMTET, A ;
MCCABE, J ;
OUVRY, S .
PHYSICS LETTERS B, 1991, 260 (3-4) :372-376
[6]   STATISTICAL ASPECTS OF THE ANYON MODEL [J].
COMTET, A ;
GEORGELIN, Y ;
OUVRY, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :3917-3925
[7]  
DELARIPELLE MF, 1987, LECTURE NOTES PHYSIC, V273, P283
[8]   ELECTRICALLY CHARGED VORTICES IN NON-ABELIAN GAUGE-THEORIES WITH CHERN-SIMONS TERM [J].
DEVEGA, HJ ;
SCHAPOSNIK, FA .
PHYSICAL REVIEW LETTERS, 1986, 56 (24) :2564-2566
[9]   REMARKS ON NONSTANDARD STATISTICS [J].
DOWKER, JS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (18) :3521-3530
[10]  
KHARE A, IPBBSR91 BHUB PREPR