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

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 Added by Rupert Frank
 Publication date 2006
  fields Physics
and research's language is English




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We consider a Schrodinger 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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