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Homolumo gap and matrix model
Phys. Rev. D 77, 127701 – Published 9 June, 2008
DOI: https://doi.org/10.1103/PhysRevD.77.127701
Abstract
We discuss a dynamical matrix model by which probability distribution is associated with Gaussian ensembles from random matrix theory. We interpret the matrix 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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