On the distribution of the total energy of a system on non-interacting fermions: random matrix and semiclassical estimates
O. Bohigas 1, P. Leboeuf 1, M. J. Sanchez 2 Physica D: Nonlinear Phenomena 131 (1999) 186-204 We consider a single particle spectrum as given by the eigenvalues of the Wigner-Dyson ensembles of random matrices, and fill consecutive single particle levels with n fermions. Assuming that the fermions are non-interacting, we show that the distribution of the total energy is Gaussian […]