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Biquaternionic Integral Representations for Massive Dirac Spinors in a Magnetic Field and Generalized Biquaternionic Differentiability
Author(s) -
Kravchenko Vladislav V.,
Malonek Helmuth R.,
Santana Gustavo
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19961125)19:17<1415::aid-mma837>3.0.co;2-a
Subject(s) - mathematics , differentiable function , formalism (music) , linearization , spinor , generalization , dirac equation , pure mathematics , mathematical analysis , gamma matrices , vector field , dirac algebra , dirac (video compression format) , mathematical physics , algebra over a field , quantum mechanics , physics , nonlinear system , geometry , art , musical , neutrino , visual arts
The Dirac equation with a vector potential is considered using a biquaternionic formalism and boundary integral representations for its solutions are obtained. In order to characterize these solutions by a property of local approximability by linearization the corresponding notion of biquaternionic differentiability and its generalization in the sense of Bers (adapted to the spatial case) are given.