 00384 [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")
Oct 2, 00

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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 CwikelLiebRosenbljum (CLR)
inequalities hold for Pauli operators for all magnetic fields
in the aforementioned open dense set.
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