Level-spacing distributions of the Gaussian unitary random matrix ensemble
نویسنده
چکیده
Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions up to order 50 in the level spacing are obtained, thus providing a very good description of the small-spacing part of the level-spacing distribution, which can be used to make comparisons with experimental or numerical data. The level-spacing distributions can be obtained by solving the system of differential equations numerically.
منابع مشابه
Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble
The Open University's repository of research publications and other research outputs Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble Journal Article How to cite: Grimm, Uwe (2004). Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble. Physica status solidi b: basic research, 241(9) pp. 2139–2147. For gu...
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تاریخ انتشار 2004