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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,…
Commutator Criteria for Magnetic Pseudodifferential Operators
Viorel Iftimie, Marius Mantoiu, Radu Purice
The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudo-differen…
The magnetic formalism; new results
Viorel Iftimie, Marius Mantoiu, Radu Purice
We review recent results on the magnetic pseudo-differential calculus both in symbolic and in -algebraic form. We also indicate some applications to spectral analysis of pseud…