RIEMANN-LIOUVILLE FRACTIONAL-INTEGRATION AND REDUCED DISTRIBUTIONS ON HYPERSPHERES

被引：15
|
作者：
JONES, KRW
机构：
[1] School of Physics, University of Melbourne, Melbourne, VIC, 3052, Parkville
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 06期
关键词：
D O I：
10.1088/0305-4470/24/6/016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using properties of Dirichlet's iterated integral formula we show how the Riemann-Liouville fractional integral unifies arbitrary moment calculations for reduced distributions on hyperspheres. A whole class of problems of this is then reduced to readily identifiable integral transforms. The work is applied to quantum inference and connections made to random matrix theory aspects of nuclear physics and quantum chaos.
引用
收藏
页码：1237 / 1244
页数：8
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