Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian

Rupert L. Frank, Simon Larson, Paul Pfeiffer

The Berezin--Li--Yau and the Kröger inequalities show that Riesz means of order $\ge 1$ of the eigenvalues of the Laplacian on a domain $\Omega$ of finite measure are bounded in terms…