[A.A. Balinsky, W.D. Evans and Roger T. Lewis
Sobolev, Hardy and CLR inequalities associated with 
Pauli operators in $\mathbb{R}^3$
(138K, "Postscript")

ABSTRACT.  In a previous article, the first two authors have proved 
that the existence of zero modes of Pauli operators is 
a rare phenomenon; inter alia, it is proved that for 
$|\vec{B}| \in L^{3/2}(\mathbb{R}^3)$, the set of magnetic fields 
$\vec{B}$ which do not yield zero modes contains an open dense subset 
of $[L^{3/2}(\mathbb{R}^3)]^3$. Here the analysis is taken further, 
and it is shown that Sobolev, Hardy and Cwikel-Lieb-Rosenbljum (CLR) 
inequalities hold for Pauli operators for all magnetic fields 
in the aforementioned open dense set.