110 citations · 425 across the 34 of their papers we have counts for
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Low lying spectral gaps induced by slowly varying magnetic fields
Horia D. Cornean, Bernard Helffer, Radu Purice
We consider a periodic Schrödinger operator in two dimensions perturbed by a weak magnetic field whose intensity slowly varies around a positive mean. We show in great generality t…
Spectral edge regularity of magnetic Hamiltonians
Horia D. Cornean, Radu Purice
We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz re…
On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians
Horia D. Cornean, Radu Purice
We study the regularity properties of the Hausdorff distance between spectra of continuous Harper-like operators. As a special case we obtain Hölder continuity of this Hausdorff di…
Unicity of the integrated density of states for relativistic Schroedinger operators with regular fields and singular electric potentials
Viorel Iftimie, Marius Mantoiu, Radu Purice
We show coincidence of the two definitions of the integrated density of states (IDS) for a class of relativistic Schroedinger operators with magnetic fields and scalar potentials,…
Spectral and Propagation Results for Magnetic Schroedinger Operators; a C*-Algebraic Framework
Marius Mantoiu, Radu Purice, Serge Richard
We study generalised magnetic Schroedinger operators of the form H(A,V)=h(P^A)+V, where h is an elliptic symbol, P^A is the generator of the magnetic translations, with A a vector…