Optimal Riesz mean inequalities for the Coulomb Hamiltonian
Rupert L. Frank, Bernard Helffer, François Nicoleau
Abstract
We are interested in whether the Riesz means of the eigenvalues of the Coulomb Hamiltonian can be bounded by the corresponding semiclassical phase space integral. In dimensions two and three we determine the optimal Riesz exponent above which this bound holds.
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