Representation of the Coulomb Matrix Elements by Means of Appell Hypergeometric Function F2

被引：3

作者：

Bentalha, Zine el Abidine ^{[1
]}

机构：

[1] Univ Tlemcen, Theoret Phys Lab, BP 230, Tilimsen 13000, Algeria

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2018年 / 21卷 / 02期

关键词：

Quantum Hall fluid; Electron gas; Hypergeometric functions; Appell functions;

D O I：

10.1007/s11040-018-9267-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact analytical representation for the Coulomb matrix elements by means of Appell's double series F-2 is derived. The finite sum obtained for the Appell function F-2 allows us to evaluate explicitly the matrix elements of the two-body Coulomb interaction in the lowest Landau level. An application requiring the matrix elements of Coulomb potential in quantum Hall effect regime is presented.

引用

页数：10

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