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.

DOI: https://doi.org/10.1002/pssb.200404784

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.

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About

• Item ORO ID
• 4863
• Item Type
• Journal Item
• 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 or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Uwe Grimm