Published April 2008
| Version v1
Journal article
Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators
Creators
- 1. School of Mathematics, Cardiff University, 23 Senghennydd Road, Cardiff CF24 4AG (United Kingdom)
- 2. Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294-1170 (United States)
Description
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 4x4 matrix valued and of order O(|x|-1) at infinity. The approach is based on inversion with respect to the unit sphere in R3 and establishing embedding theorems for Dirac-Sobolev spaces of spinors f which are such that f and Hf lie in (Lp(R3))4, 1≤p<∞
Additional details
Identifiers
- DOI
- 10.1063/1.2912229;
- arXiv
- arXiv:0712.2051v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 49
- Journal Issue
- 4
- Journal Page Range
- p. 043514-043514.10
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39110363
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; DIRAC OPERATORS; MATHEMATICAL SPACE; MATRICES; SPHERES; SPINORS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2008 American Institute of Physics