English

Homolumo Gap and Matrix Model

High Energy Physics - Theory 2008-11-26 v1

Abstract

We 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.

Keywords

Cite

@article{arxiv.0712.3760,
  title  = {Homolumo Gap and Matrix Model},
  author = {I. Andric and L. Jonke and D. Jurman and H. B. Nielsen},
  journal= {arXiv preprint arXiv:0712.3760},
  year   = {2008}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-21T09:56:55.373Z