FREDHOLM DETERMINANTS AND INVERSE SCATTERING PROBLEMS
FREDHOLM DETERMINANTS AND INVERSE SCATTERING PROBLEMS
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DOI：
10.1007/bf01608375
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发表时间：
1976-01-01
影响因子：
2.4
通讯作者：
DYSON, FJ
中科院分区：
文献类型：
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作者：
DYSON, FJ
用于解决逆散射问题的Gelfand-Levitan和Marchenko形式主义一起应用于一组散射相移。其结果是一个恒等式，涉及两种不同类型的Fredholm行列式。作为该方法的应用，对随机矩阵理论中决定水平间距分布函数的一个特殊Fredholm行列式，导出了一个高精度的渐近公式。
The Gel'fand-Levitan and Marchenko formalisms for solving the inverse scattering problem are applied together to a single set of scattering phase-shifts. The result is an identity relating two different types of Fredholm determinant. As an application of the method, an asymptotic formula of high accuracy is derived for a particular Fredholm determinant that determines the level-spacing distribution-function in the theory of random matrices.