Some remarkable properties of Hamiltonian matrices
A. P. Zuker, L. Waha Ndeuna, F. Nowacki, E. Caurier · arXiv (Cornell University) · 1999
Continuous binomials are shown to reproduce the exact level densities - with the possible exception of the yrast state - at fixed angular momentum J for two families of realistic shell model diagonalizations. The elements of the Lanczos tridiagonal matrices that generate the spectra turn out to have general forms depending on the same parameters that determine the level density (first three moments and dimensionality of the space). Finally, the influence of the ground state position on thermodynamic quantities will be examined.