Affordable Access

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

Publication Date
  • Mathematics


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.

There are no comments yet on this publication. Be the first to share your thoughts.