23 citations · 48 across the 4 of their papers we have counts for
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math.SP2015
Estimates for the Lowest Eigenvalue of Magnetic Laplacians
Tomas Ekholm, Hynek Kovarik, Fabian Portmann
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded domain in two dimensions. When the magnetic field is constant, we give lower an…
math-ph2015★ 23 cited
Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems
Douglas Lundholm, Phan Thành Nam, Fabian Portmann
We prove analogues of the Lieb-Thirring and Hardy-Lieb-Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials,…