86 citations · 139 across the 10 of their papers we have counts for
10 papers
Quantum observables as magnetic pseudodifferential operators
Viorel Iftimie, Radu Purice, Marius Mantoiu
In a series of papers we have argued that the 'basic' physical procedure of minimal coupling giving the quantum description of a Hamiltonian system interacting with a magnetic fiel…
Peierls substitution and magnetic pseudo-differential calculus
Horia D. Cornean, Viorel Iftimie, Radu Purice
We revisit the celebrated Peierls-Onsager substitution employing the magnetic pseudo-differential calculus for weak magnetic fields with no spatial decay conditions, when the non-m…
The Peierls-Onsager Effective Hamiltonian in a complete gauge covariant setting: Description of the spectrum
Viorel Iftimie, Radu Purice
Using the procedures in \cite{Bu} and \cite{GMS} and the magnetic pseudodifferential calculus we have developped in \cite{MP1,MPR1,IMP1,IMP2} we construct an effective Hamitonian t…
Magnetic Fourier Integral Operators
Viorel Iftimie, Radu Purice
In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is prese…
Eigenfunctions decay for magnetic pseudodifferential operators
Viorel Iftimie, Radu Purice
We prove rapid decay (even exponential decay under some stronger assumptions) of the eigenfunctions associated to discrete eigenvalues, for a class of self-adjoint operators in $L^…
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,…