Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles
Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was recently introduced to study spectral properties of many-body problems, as, contrary to the standard level spacing distributions, it does not depend on the local …