Random Matrix Diagonalization—Some Numerical Computations

Numerical results of Monte-Carlo calculations of spacing and eigenvalue distributions for the invariant and independent Gaussian orthogonal ensemble of Hamiltonian matrices are presented. Many of the histograms should be useful for comparison with experimental data. A table of the first few moments of each distribution is given. For the spacing distributions, such moments are equivalent to spacing correlation coefficients, and hence these are also made available indirectly.