Balinsky, Alexander, Evans, William Desmond and Lewis, R. T. 2001. On the number of negative eigenvalues of Schrödinger operators with an Aharanov-Bohm magnetic field. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 457 (2014) , pp. 2481-2489. 10.1098/rspa.2001.0851 |
Abstract
It is proved that for V+=max(V,0) in the subspace L1(R+ ; L∞(S1); r dr) of L1(R2), there is a Cwikel–Lieb–Rosenblum–type inequality for the number of negative eigen2 R values of the operator ((1/i)∇ + A)2 — V in L2(R2) when A is an Aharonov-Bohm magnetic potential with non-integer flux. It is shown that the L1(R+, L∞ (S1),r dr)-norm cannot be replaced by the L1(R2)-norm in the inequality.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
ISSN: | 1471-2946 |
Related URLs: | |
Last Modified: | 04 Jun 2017 01:41 |
URI: | http://orca-mwe.cf.ac.uk/id/eprint/1687 |
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