39 citations · 127 across the 28 of their papers we have counts for
5 papers · 1 filter
On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
Jean-Claude Cuenin, Konstantin Merz
We estimate sums of functions of negative eigenvalues of Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. Our main technical tool is the S…
Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials
Jean-Claude Cuenin, Konstantin Merz
We improve results by Frank, Hainzl, Naboko, and Seiringer [12] and Hainzl and Seiringer [20] on the weak coupling limit of eigenvalues for Schrödinger-type operators whose kinetic…
Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene
Philippe Briet, Jean-Claude Cuenin, Leonid Golinskii +1
Combining the methods of Cuenin [2019] and Borichev-Golinskii-Kupin [2009, 2018], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effecti…
Embedded eigenvalues of generalized Schrödinger operators
Jean-Claude Cuenin
We provide examples of operators with decaying potentials that have embedded eigenvalues. The decay of the potential depends on the curvature of the Fermi surfaces of cons…
Dipoles in Graphene Have Infinitely Many Bound States
Jean-Claude Cuenin, Heinz Siedentop
We show that in graphene charge distributions with non-vanishing dipole moment have infinitely many bound states. The corresponding eigenvalues accumulate at the edges of the gap f…