Homolumo Gap and Matrix Model

Details Homolumo Gap and Matrix Model Homolumo Gap and Matrix Model

2007-12-21

arxiv.org/abs/0712.3760v1

Phys.Rev.D77:127701,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 2 figures

Scientific paper

10.1103/PhysRevD.77.127701

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.

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