Premium
The nonrelativistic limit of Dirac operators with Lorentz scalar δ‐shell interactions
Author(s) -
Holzmann Markus
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900126
Subject(s) - scalar (mathematics) , physics , limit (mathematics) , lorentz transformation , dirac operator , mathematical physics , operator (biology) , shell (structure) , dirac (video compression format) , dirac equation , quantum electrodynamics , quantum mechanics , mathematics , mathematical analysis , biochemistry , chemistry , geometry , materials science , repressor , composite material , transcription factor , neutrino , gene
Abstract In this note it is shown that the nonrelativistic limit of the Dirac operator with a Lorentz scalar δ‐shell interaction of constant strength supported on a C 2 ‐smooth surface in ℝ 3 is the Schrödinger operator with a δ‐potential of the same strength.