79 citations · 210 across the 16 of their papers we have counts for
20 papers
Lieb-Thirring inequalities for the shifted Coulomb Hamiltonian
Thiago Carvalho Corso, Timo Weidl, Zhuoyao Zeng
In this paper we prove sharp Lieb-Thirring (LT) inequalities for the family of shifted Coulomb Hamiltonians. More precisely, we prove the classical LT inequalities with the semi-cl…
Eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field on disks in the strong field limit
Matthias Baur, Timo Weidl
We consider the magnetic Dirichlet Laplacian with constant magnetic field on domains of finite measure. First, in the case of a disk, we prove that the eigenvalue branches with res…
An improved one-dimensional Hardy inequality
Rupert L. Frank, Ari Laptev, Timo Weidl
We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we ca…
Spectral estimates for the Heisenberg Laplacian on cylinders
Hynek Kovarik, Bartosch Ruszkowski, Timo Weidl
We study Riesz means of eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on a cylinder in dimension three. We obtain an inequality with a sharp leading te…
Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack
André Hänel, Timo Weidl
We consider the elasticity operator with zero Poisson's ratio on an infinite strip and an infinite plate with a horizontal crack. We prove an asymptotic formula for the distance of…
Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator
André Hänel, Timo Weidl
In the present article we will give a new proof of the ground state asymptotics of the Dirichlet Laplacian with a Neumann window acting on functions which are defined on a two-dime…