Diamagnetic behavior of sums Dirichlet eigenvalues
László Erdös, Michael Loss, Vitali Vougalter (2000)
Annales de l'institut Fourier
Similarity:
The Li-Yau semiclassical lower bound for the sum of the first eigenvalues of the Dirichlet–Laplacian is extended to Dirichlet– Laplacians with constant magnetic fields. Our method involves a new diamagnetic inequality for constant magnetic fields.