UNITARY POLYNOMIALS IN NORMAL MATRIX MODELS AND WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECTS
文献类型：期刊论文
| 作者 | CHAU, LL; YU, Y ; CHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.
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| 刊名 | PHYSICS LETTERS A
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| 出版日期 | 1992 |
| 卷号 | 167期号:41035页码:452-458 |
| 关键词 | Random Surfaces One Dimension Gravity States Statistics Hierarchy Strings Degeneracy Fluid Less |
| ISSN号 | 0375-9601 |
| 英文摘要 | 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12139]  |
| 专题 | 理论物理研究所_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. |
入库方式： OAI收割
来源：理论物理研究所
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