ITP OpenIR  > 理论物理所1978-2010年知识产出
UNITARY POLYNOMIALS IN NORMAL MATRIX MODELS AND WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECTS
CHAU, LL; YU, Y; CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.
1992
发表期刊PHYSICS LETTERS A
ISSN0375-9601
卷号167期号:41035页码:452-458
摘要We formulate matrix models with random interactions from normal matrices and construct the corresponding unitary polynomials. The unitary polynomials can be viewed as a set of one-body wave functions of a two-dimensional repulsive Coulomb gas of particles. We then construct the N-body ground state wave functions from these unitary polynomials according to symmetry and statistics requirements. Interestingly, in the case of the zero matrix-model random interaction we precisely obtain the Laughlin wave functions for the fractional quantum Hall effect. In the case of the nonzero matrix-model random interactions, we demonstrate that the N-body wave functions obtained from our normal matrix model describe electrons on a plane under the influence of nonuniform external electromagnetic fields. Thus, our solutions from the normal matrix model show that fractional quantum Hall effects do exist in complex situations of external electromagnetic fields. It will be interesting to observe such fractional quantum Hall effects experimentally.
部门归属LOS ALAMOS NATL LAB,CTR NON LINEAR STUDIES,LOS ALAMOS,NM 87545; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
关键词Random Surfaces One Dimension Gravity States Statistics Hierarchy Strings Degeneracy Fluid Less
学科领域Physics
URL查看原文
收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12139
专题理论物理所1978-2010年知识产出
通讯作者CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.
推荐引用方式
GB/T 7714
CHAU, LL,YU, Y,CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.. UNITARY POLYNOMIALS IN NORMAL MATRIX MODELS AND WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECTS[J]. PHYSICS LETTERS A,1992,167(41035):452-458.
APA CHAU, LL,YU, Y,&CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA..(1992).UNITARY POLYNOMIALS IN NORMAL MATRIX MODELS AND WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECTS.PHYSICS LETTERS A,167(41035),452-458.
MLA CHAU, LL,et al."UNITARY POLYNOMIALS IN NORMAL MATRIX MODELS AND WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECTS".PHYSICS LETTERS A 167.41035(1992):452-458.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Unitarypolynomials i(433KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[CHAU, LL]的文章
[YU, Y]的文章
[CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.]的文章
百度学术
百度学术中相似的文章
[CHAU, LL]的文章
[YU, Y]的文章
[CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.]的文章
必应学术
必应学术中相似的文章
[CHAU, LL]的文章
[YU, Y]的文章
[CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。