3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and…
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…
On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
Bruno Nachtergaele, Wolfgang L Spitzer, Shannon Starr
We study the time evolution of interfaces of the ferromagnetic XXZ chain in a magnetic field. A scaling limit is introduced where the strength of the magnetic field tends to zero a…
New coherent states and a new proof of the Scott correction
Jan Philip Solovej, Wolfgang L Spitzer
We introduce new coherent states and use them to prove semi-classical estimates for Schrödinger operators with regular potentials. This can be further applied to the Thomas-Fermi p…