Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inozemtsev's hyperbolic spin model and its related spin chain   In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic
interactions and the associated spin chain of Haldane-Shastry type introduced
by Frahm and Inozemtsev. We compute the spectrum of Inozemtsev's model, and use
this result and the freezing trick to derive a simple analytic expression for
the partition function of the Frahm-Inozemtsev chain. We show that the energy
levels of the latter chain can be written in terms of the usual motifs for the
Haldane-Shastry chain, although with a different dispersion relation. The
formula for the partition function is used to analyze the behavior of the level
density and the distribution of spacings between consecutive unfolded levels.
We discuss the relevance of our results in connection with two well-known
conjectures in quantum chaos.

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The categories of this paper are: adap-org
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph