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.

中文翻译：

---

库仑哈密顿量的 Cwikel-Lieb-Rozenblum 不等式

我们证明了维度高于五的库仑哈密顿量的尖锐 Cwikel-Lieb-Rozenblum 型不等式。我们进一步表明，从 Weyl 渐近学获得的经典常数在第四维和第五维中不成立。