Cwikel–Lieb–Rozenblum inequalities for the Coulomb Hamiltonian

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2024年2月7日

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Andrés Díaz Selvi

摘要

We prove sharp Cwikel–Lieb–Rozenblum type inequalities for the Coulomb Hamiltonian in dimension higher than five. We furthermore show that the classical constant obtained from Weyl asymptotics doesn’t hold in dimensions four and five.