87 citations · 324 across the 34 of their papers we have counts for
5 papers · 2 filters
Improved bounds on the spectral gap above frustration free ground states of quantum spin chains
Wolfgang L Spitzer, Shannon Starr
In \cite{Nac2,Nac1} Nachtergaele obtained explicit lower bounds for the spectral gap above many frustration free quantum spin chains by using the ``martingale method''. We present…
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…
A new coherent states approach to semiclassics which gives Scott's 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…
The Ferromagnetic Heisenberg XXZ chain in a pinning field
Pierluigi Contucci, Bruno Nachtergaele, Wolfgang L. Spitzer
We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impuri…