Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Saito, Y. 2008. Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Journal of Mathematical Physics 49 (4) , 043514. 10.1063/1.2912229

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Abstract

The paper analyzes the decay of any zero modes that might exist for a massless Dirac operator H ≔ α⋅(1/i)∇+Q, where Q is 4×4 matrix valued and of order O(∣x∣−1) at infinity. The approach is based on inversion with respect to the unit sphere in 3 and establishing embedding theorems for Dirac–Sobolev spaces of spinors f which are such that f and Hf lie in (Lp(3))4, 1 ⩽ p<∞

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	American Institute of Physics
ISSN:	0022-2488
Last Modified:	21 Oct 2022 09:36
URI:	https://orca.cardiff.ac.uk/id/eprint/37050

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