%0 Journal Article
%A Enciso, Alberto
%A Finkel Morgenstern, Federico
%A González López, Artemio
%T Spin chains of Haldane-Shastry type and a generalized central limit theorem
%D 2009
%@ 1539-3755
%U https://hdl.handle.net/20.500.14352/44675
%X We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which is especially suited to models whose partition function is explicitly known. In particular, we provide a theoretical explanation of the fact that the level density of several spin chains of Haldane-Shastry type is asymptotically Gaussian when the number of sites tends to infinity.
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