LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONSReport as inadecuate




LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONS - Download this document for free, or read online. Document in PDF available to download.

1 Università degli Studi di Roma -La Sapienza- Rome 2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

Abstract : We prove local smoothing estimates for the massless Dirac equation with a Coulomb potential in 2 and 3 space dimensions. Our strategy of proof is inspired by a paper of Burq et al. 2003 about Schroedinger and wave equations with inverse-square potentials, and relies on partial wave subspaces decomposition and spectral analysis of the Dirac-Coulomb operator.

Keywords : massless Dirac equation Dirac-Coulomb graphene relativistic quantum mechanics smoothing estimates dispersive estimates





Author: Federico Cacciafesta - Eric Séré -

Source: https://hal.archives-ouvertes.fr/



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