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.
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页数：10
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