The nonrelativistic limit of Dirac operators with Lorentz scalar δ‐shell interactions | Zendy

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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

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.

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