QUANTUM CHAINS WITH U(Q)(SL(2)) SYMMETRY AND UNRESTRICTED REPRESENTATIONS

被引：8

作者：

ARNAUDON, D ^{[1
]}

RITTENBERG, V ^{[1
]}

机构：

[1] UNIV BONN,INST PHYS,W-5300 BONN 1,GERMANY

来源：

PHYSICS LETTERS B | 1993年 / 306卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(93)91142-A

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider two-state (q2 = -1) and three-state (q3 = 1) one-dimensional quantum spin chains with U(q)(sl(2)) symmetry. Taking unrestricted (type B) representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.

引用

页码：86 / 90

页数：5

共 16 条

[1] ALCARAZ FC, 1992, UGVADPT199212799 HE
[2] ARNAUDON D, IN PRESS COMMUN MATH
[3] BERKOVICH A, 1993, SPIN ANISOTROPY COMM
[4] QUANTUM SYMMETRIES ASSOCIATED WITH THE PERK-SCHULTZ MODEL
COUTURE, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (07): : 1953 - 1966
[5] ON SOME QUANTUM R MATRICES ASSOCIATED WITH REPRESENTATIONS OF UQ(SL(2,C)) WHEN Q IS A ROOT OF UNITY
COUTURE, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (03): : L103 - L107
[6] DENNIJS M, 1988, PHASE TRANSITIONS CR, V12
[7] NEW INTEGRABLE DEFORMATIONS OF HIGHER SPIN HEISENBERG-ISING CHAINS
GOMEZ, C
SIERRA, G
[J]. PHYSICS LETTERS B, 1992, 285 (1-2) : 126 - 132
[8] A 2-PARAMETER DEFORMATION OF THE SU (1/1) SUPERALGEBRA AND THE XY QUANTUM CHAIN IN A MAGNETIC-FIELD
HINRICHSEN, H
RITTENBERG, V
[J]. PHYSICS LETTERS B, 1992, 275 (3-4) : 350 - 354
[9] Lushnikov A.A., 1986, SOV PHYS JETP, V64, P811
[10] BINARY REACTION 1+1-]0 IN ONE DIMENSION
LUSHNIKOV, AA
[J]. PHYSICS LETTERS A, 1987, 120 (03) : 135 - 137

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