2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199989We discuss a dynamical matrix model by which probability distribution is associated with Gaussian ensembles from random matrix theory. We interpret the matrix M as a Hamiltonian representing interaction of a bosonic system with a single fermion. We show that a system of second-quantized fermions influences the ground state of the whole system by producing a gap between the highest occupied eigenvalue and the lowest unoccupied eigenvalue.8 pages, 2 figuresHigh Energy Physics - Theorytext