Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter]

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, 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

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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 |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
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	IOP Publishing
ISSN:	0305-4470
Last Modified:	21 Oct 2022 09:38
URI:	https://orca.cardiff.ac.uk/id/eprint/37140

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