66 citations · 72 across the 6 of their papers we have counts for
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math.SP2009
Remarks on eigenvalue estimates and semigroup domination
Rupert L. Frank
We present an overview over recent results concerning semi-classical spectral estimates for magnetic Schroedinger operators. We discuss how the constants in magnetic and non-magnet…
math.SP2006
Lieb-Thirring inequalities on the half-line with critical exponent
Tomas Ekholm, Rupert L. Frank
We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part…
math.SP2006★ 3 cited
Hardy-Lieb-Thirring inequalities for fractional Schroedinger operators
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schroedinger-like operators remain true, with possibly different constants, when the critical Hard…