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math.SP2016
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…
math.SP2010
Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law
Oleg Safronov
In the first part of the paper we consider the Schrödinger operator We discuss the relation between the behavior of at the infinity and the properties of…