110 citations · 366 across the 43 of their papers we have counts for
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On the continuity of spectra for families of magnetic pseudodifferential operators
Nassim Athmouni, Marius Mantoiu, Radu Purice
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter , we show that the corresponding family o…
Coherent states in the presence of a variable magnetic field
Marius Mantoiu, Radu Purice, Serge Richard
We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R^{2N} endowed with a magnetic symplect…
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,…
The Modulation Mapping for Magnetic Symbols and Operators
Marius Mantoiu, Radu Purice
We extend the Bargmann transform to the magnetic pseudodifferential calculus, using gauge-covariant families of coherent states. We also introduce modulation mappings, a first step…
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…