Geodesic
Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator
J-M. Barbaroux1 ; V. Vougalter2 ; S. Vugalter3
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.
Mathematical modelling of natural phenomena, Tome 11 (2016) no. 2, pp. 36-43

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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.
DOI : 10.1051/mmnp/201611203

J-M. Barbaroux 1 ; V. Vougalter 2 ; S. Vugalter 3

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. 
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J-M. Barbaroux; V. Vougalter; S. Vugalter. Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 2, pp. 36-43. doi: 10.1051/mmnp/201611203

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