418 citations · 2.2k across the 78 of their papers we have counts for
4 papers · 2 filters
Central limit theorems for the large-spin asymptotics of quantum spins
Tom Michoel, Bruno Nachtergaele
We use a generalized form of Dyson's spin wave formalism to prove several central limit theorems for the large-spin asymptotics of quantum spins in a coherent state.
Ferromagnetic Ordering of Energy Levels
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
We study a natural conjecture regarding ferromagnetic ordering of energy levels in the Heisenberg model which complements the Lieb-Mattis Theorem of 1962 for antiferromagnets: for…
The large-spin asymptotics of the ferromagnetic XXZ chain
Tom Michoel, Bruno Nachtergaele
We present new results and give a concise review of recent previous results on the asymptotics for large spin of the low-lying spectrum of the ferromagnetic XXZ Heisenberg chain wi…
Path integral representations for the spin-pinned quantum XXZ chain
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
Two discrete path integral formulations for the ground state of a spin-pinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recurs…