Laszlo Erdos, Michael Loss, Vitali Vougalter
Diamagnetic behavior of sums of Dirichlet eigenvalues
(35K, PlainTex)

ABSTRACT.  The Li-Yau semiclassical lower bound for the sum of the first
N 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.