Lieb-Thirring inequalities on the half-line with critical exponent

Details Lieb-Thirring inequalities on the half-line with critical exponent Lieb-Thirring inequalities on the half-line with critical exponent

2006-11-08

arxiv.org/abs/math/0611247v1

Mathematics

Spectral Theory

Scientific paper

We consider a Schr\"odinger 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 of the potential that is larger than
the critical Hardy weight. The estimate is valid for the critical value of the
moment parameter.

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