3 problems

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Ferromagnetic Ordering of Energy Levels conjecture
Ferromagnetic Ordering of Energy Levels conjecture. All ferromagnetic Heisenberg models have the FOEL property: if $S'<S$ , then
Conjectureopenheisenberg-models quantum-spin-systems spectral-orderingarXiv posted 2 days ago
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The conjecture that ferromagnetic XXX models on finite graphs have FOEL
FOEL conjecture. Every ferromagnetic XXX model on any finite graph has the FOEL property.
Conjectureopenferromagnetism quantum-spin-systems spectral-orderingarXiv posted 2 days ago
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Singlet-sector energy ordering conjecture for even spin rings
Let $T_L$ be an even-length spin ring with spin $j$ , and let $E_{\min}(S;T_L)$ denote the minimum energy in the total-spin- $S$ sector. Singlet-sector energy ordering conjecture. Fo…
Conjectureopenquantum-spin-systems spectral-ordering spin-ringsarXiv posted 2 days ago

Ferromagnetic Ordering of Energy Levels conjecture