Balinsky, Alexander, Evans, William Desmond and Lewis, Roger T. 2001. Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter]. Journal of Physics A: Mathematical and General 34 (5) , L19-L23. 10.1088/0305-4470/34/5/101 |
Official URL: http://dx.doi.org/10.1088/0305-4470/34/5/101
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 |B|inL3/2(R3), the set of magnetic fields B which do not yield zero modes contains an open dense subset of [L3/2(R3)]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.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | IOP Publishing |
ISSN: | 0305-4470 |
Last Modified: | 04 Jun 2017 04:20 |
URI: | http://orca.cf.ac.uk/id/eprint/37140 |
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