86 citations · 139 across the 10 of their papers we have counts for
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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…
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…