Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

~; THIRRING, W., Inequalities for the moments of the eigenvalues of the Schr5- dinger Hamiltonian and their relation to Sobolev inequalities, in Studies in Mathematical

PAVEL EXNER, ARI LAPTEV, AND MUHAMMAD USMAN A BSTRACT. In this paper we obtain sharp Lieb-Thirring inequalities for a Schr¨odinger operator on semi-axis with a matrix potential and

We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schr¨ odinger operators in wave guides with local perturbations.. The esti- mates are optimal in

The results we obtained in the case d ≥ 4 are similar to the case d = 3, with V γ,d,1 as the maximizer for small γ, until it is outperformed by branches with a larger number of

Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators..

We propose a general framework to build full symmetry-breaking inequalities in order to handle sub-symmetries arising from solution subsets whose symmetry groups contain the

We show that the proposed sub-symmetry-breaking inequalities outperform state-of-the-art symmetry-breaking formulations, such as the aggregated interval MUCP formulation [22] as well

PARISSE, Riesz means of bound states and semi classical limit connected with a Lieb-Thirring’s conjecture III, Prépublication de l’École. Normale supérieure,