Math. Model. Nat. Phenom.
Volume 11, Number 2, 2016Spectral problems
|Page(s)||36 - 43|
|Published online||21 March 2016|
Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator
1 Aix-Marseille Université, CNRS, CPT, UMR 7332, 13288
Marseille, France and Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France.
2 University of Toronto, Department of Mathematics, Toronto, Ontario, M5S 2E4, Canada.
3 Karlsruhe Institute of Technology, Englerstrasse 2, 76131 Karlsruhe, Germany.
We derive an estimate for the localization error of the relativistic kinetic operator | ∇ | 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.
Mathematics Subject Classification: 81V10
Key words: Localization error / relativistic kinetic energy.
© EDP Sciences, 2016
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