北京大学学报（自然科学版）2005，Vol.41Issue(5)：671-678,8.
扰动酉系综的1-级相关函数
1-Level Correlation Functions of Disturbed Unitary Ensembles
严葵华 1胡志广2
作者信息
- 1. 北京大学数学科学学院,北京,100871
- 2. 浙江师范大学数理学院,金华,321004
- 折叠
摘要
Abstract
In the random matrix theory, the 1-level correlation functions R1nβ(x) (β is generally called Dysons index) can be explained as the distribution density of energy levels which can be found nearby x. As yet, its limit behavior is still remarkably noticed by many mathematicians and physicists. In the case of unitary ensemble (i.e.β=2), the 1-level correlation functions R1n2(x) is closely related to the weight function μ(x) in the classical orthogonal polynomial theory. For the simplication of statement, only the Gaussian unitary ensemble case is considered. The authors find that in weak sense, the limit behavior of R1n2(x)is not disturbed by appending a "good" nontrivial multiplicative factor to μ(x).关键词
Gauss酉系综/相关函数/矩/Laguerre多项式Key words
Gaussian unitary ensembles/correlation functions/moments/laguerre polynomials分类
数理科学引用本文复制引用
严葵华,胡志广..扰动酉系综的1-级相关函数[J].北京大学学报（自然科学版）,2005,41(5):671-678,8.
