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Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble

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.

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DOI (Digital Object Identifier) Link: http://doi.org/10.1002/pssb.200404784
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Abstract

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.

Item Type: Journal Article
ISSN: 0370-1972
Extra Information: preprint version cond-mat/0211279 also available at http://arxiv.org/abs/cond-mat/0211279
Keywords: random matrix theory; Gaussian unitary ensemble; level spacing distribution; series expansion
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 4863
Depositing User: Uwe Grimm
Date Deposited: 13 Nov 2006
Last Modified: 06 Aug 2016 20:01
URI: http://oro.open.ac.uk/id/eprint/4863
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