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On Integral Representations and Boundary Properties of Spinor Fields
Author(s) -
Kravchenko V. V.,
de Arellano E. Ramírez,
Shapiro M. V.
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(199608)19:12<977::aid-mma808>3.0.co;2-p
Subject(s) - mathematics , spinor , boundary value problem , dirac equation , clifford analysis , mathematical analysis , harmonic function , spinor field , field (mathematics) , boundary (topology) , function (biology) , dirac spinor , algebra over a field , pure mathematics , mathematical physics , dirac algebra , dirac operator , evolutionary biology , biology
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 [14–16]. 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.