Dirk Hundertmark, Barry Simon
A Diamagnetic Inequality for Semigroup Differences
(94K, LaTeX2e)

ABSTRACT.  The diamagnetic inequality for the magnetic Schr\"odinger semigroup is 
extended to the difference of the semigroups of magnetic Schr\"odinger 
operators with Neumann and Dirichlet boundary conditions on arbitrary 
open domains and rather general magnetic vector potentials $A$ and 
potentials $V$. 
In particular, this bound renders moot all the technical issues in the 
recent proofs of the independence of the boundary conditions for the 
integrated density of states for magnetic Schr\"odinger operators: 
Independence of the boundary conditions for the free case, that is, 
for vanishing potentials and vector potentials, immediately implies 
independence of the boundary conditions of the integrated density of 
states for a large class of magnetic Schr\"odinger operators.