A.A. Balinsky, W.D. Evans and Roger T. Lewis
On the number of negative eigenvalues of Schr\"{o}dinger 
operators with an Aharonov-Bohm magnetic field
(167K, "Postscript")

ABSTRACT.  It is proved that for $V_+ = \max(V,0)$ in the subspace 
$ L^1 ( \mathbb{R}^+ , \ L^{\infty}(\mathbb{S}^1), \ rdr)$ 
of $L^1 (\mathbb{R}^2)$, there is a Cwikel-Lieb-Rosenblum 
type inequality for the number of negative eigenvalues of 
the operator $\biggl( \frac{1}{i} \vec{\nabla} + \vec{A} \biggr)^2 - V$ 
in $L^2 (\mathbb{R}^2)$ when $\vec{A}$ is an Aharonov-Bohm magnetic 
potential with non-integer flux. It is shown that 
$ L^1 ( \mathbb{R}^+ , \ L^{\infty}(\mathbb{S}^1), \ rdr)$ 
can not be replaced by $L^1 (\mathbb{R}^2)$ in the inequality.