2011/04/17 by Naiara Arrizabalaga · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Algebra over a field #Algebraic and Geometric Analysis #Class (philosophy) #Clifford analysis #Computer science #Diagonal #Dirac (video compression format) #Dirac algebra #Dirac equation #Dirac measure #Dirac operator #Dirac spinor #Geometry #Hilbert space #Inequality #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Self-adjoint operator #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP #msc:35P05 #msc:35Q40 #msc:81Q10
paper · pdf · doi:10.1063/1.3635376
16 pages
arxiv created 2011/04/17 · openalex publication_date 2011/09/01 · arxiv updated 2013/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We prove some Hardy-Dirac inequalities with two different weights including measure valued and Coulombic ones. Those inequalities are used to construct distinguished self-adjoint extensions of Dirac operators for a class of diagonal potentials related to the weights in the mentioned inequalities.