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Biquaternionic Integral Representations for Massive Dirac Spinors in a Magnetic Field and Generalized Biquaternionic Differentiability

✍ Scribed by Vladislav V. Kravchenko; Helmuth R. Malonek; Gustavo Santana


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
779 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis


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.