Level spacing for band random matrices
- 21 December 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (24), 5855-5862
- https://doi.org/10.1088/0305-4470/23/24/025
Abstract
The authors examine the spacing distribution of the eigenvalues of tridiagonal real symmetric random matrices, the elements of which are distributed according to a Gaussian law. They show explicitly that for 4*4 matrices the distribution at small spacings behaves as s log2 s. They surmise that for N*N matrices the behaviour is s logN-2S and they present numerical results which support this conjecture.Keywords
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