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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
Source PublicationPHYSICS LETTERS A
KeywordRandom Surfaces One Dimension Gravity States Statistics Hierarchy Strings Degeneracy Fluid Less
AbstractWe 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.
1992
ISSN0375-9601
Volume167Issue:41035Pages:452-458
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12139
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCHAU, LL , UNIV CALIF DAVIS,DEPT PHYS,DAVIS,CA 95616, USA.
Recommended Citation
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.
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