Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene

Abstract

Combining the methods of Cuenin [7] and Borichev, Golinskii, and Kupin [4] and [5], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effective Hamiltonian for bilayer graphene.

Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line

“…Among the problems which have attracted attention, let us mention spectral enclosure results and bounds on the number of complex eigenvalues [1,5,11,16,20,23,27]. Another active area of interest is nonself-adjoint generalisations of Lieb-Thirring inequalities for Schrödinger operators L. Golinskii and A. Stepanenko 1346 [4,6,12,17,19,22,26,37], as well as for other types of operators [9,[13][14][15]38]. Still, many questions remain unanswered.…”