Improved Berezin-Li-Yau inequalities with magnetic field

Abstract

In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a constant magnetic field.

References in corpus (1)

• Sharp spectral estimates in domains of infinite volume

Cited by in corpus (2)

• Numerical Optimization of Eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field
• Eigenvalue bound for Schroedinger operators with unbounded magnetic field