Localization error estimate for the massless relativistic kinetic energy operator

J-M. Barbaroux (1) , Vitali Vougalter (2) , Semjon Vugalter (3)

1 CPT - E8 Dynamique quantique et analyse spectrale
2 Department of Mathematics [University of Toronto]
3 KIT - Karlsruhe Institute of Technology

We derive an estimate for the localization error of the relativistic kinetic operator |\nabla| for massless particles in three dimensional configuration space. As a consequence, we obtain a localization estimate arbitrarily small in term of the localized kinetic energies.

Mots clés: relativistic kinetic enery; Localization error

Domaines: Physique mathématique [math-ph]; Mathématiques [math]

J-M. Barbaroux, Vitali Vougalter, Semjon Vugalter. Localization error estimate for the massless relativistic kinetic energy operator. Mathematical Modelling of Natural Phenomena, 2016, 11 (2), pp.36-43. ⟨10.1051/mmnp/201611203⟩. ⟨hal-01253109⟩