Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities between ground-state energies of Heisenberg models   The Lieb-Schupp inequality is the inequality between ground state en- ergies
of certain antiferromagnetic Heisenberg spin systems. In our paper, the
numerical value of energy difference given by Lieb-Schupp inequality has been
tested for spin systems in various geometries: chains, ladders and
quasi-two-dimensional lattices. It turned out that this energy difference was
strongly dependent on the class of the system. The relation between this
difference and a fall-off of a correlation function has been empirically found
and formulated as a conjecture.

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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol