56 citations · 65 across the 6 of their papers we have counts for
4 papers · 1 filter
Eigenvalue bounds for Stark operators with complex potentials
Evgeny Korotyaev, Oleg Safronov
We consider the 3-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of…
Eigenvalues of the bilayer graphene operator with a complex valued potential
Francesco Ferrulli, Ari Laptev, Oleg Safronov
We study the spectrum of a system of second order differential operator perturbed by a non-selfadjoint matrix valued potential. We prove that eigenvalues of the perturbed operator…
On the number of eigenvalues of Schrödinger operators with complex potentials
Rupert L. Frank, Ari Laptev, Oleg Safronov
We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where decays…
Absolutely continuous spectrum of a one-paramentric family of Schrödinger operators
Oleg Safronov
We consider a family of operators with a slowly decaying and oscillating potential . We prove that the absolutely continuous spectrum of this operator is essentially s…