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arXiv · 0712.3760

Homolumo Gap and Matrix Model

I. Andric·L. Jonke·D. Jurman·H. B. Nielsen
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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.

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I. Andric, L. Jonke, D. Jurman, H. B. Nielsen. 2007-12-21. Homolumo Gap and Matrix Model. https://doi.org/10.1103/physrevd.77.127701

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