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
On Integral Representations and Boundary Properties of Spinor Fields
✍ Scribed by V. V. Kravchenko; E. Ramírez de Arellano; M. V. Shapiro
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 551 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Sprbljig
A new approach to the boundary value problem for the classic Dirac equation is proposed. This approach is based on a recent version of the metaharmonic quaternionic analysis developed in [14-161. In particular, the following problem is studied: when and how a given function on a surface can be extended to a time-harmonic spinor field.
📜 SIMILAR VOLUMES
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Applications of the boundary integral equation method to realworld problems often require that field values should be obtained near boundary surfaces. A numerical difficulty is known to arise in this situation if one attempts to evaluate near-boundary fields via the conventional Green's formula. The
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