Far‐field patterns of solutions of the perturbed Dirac equation | Zendy

MarmolejoOlea Emilio | Zendy; PérezEsteva Salvador | Zendy

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Far‐field patterns of solutions of the perturbed Dirac equation

Author(s) -

MarmolejoOlea Emilio,

PérezEsteva Salvador

Publication year - 2012

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/mma.2691

Subject(s) - helmholtz equation , mathematics , infinity , dirac equation , field (mathematics) , clifford algebra , clifford analysis , algebraic number , mathematical physics , dirac (video compression format) , mathematical analysis , electric field integral equation , pure mathematics , algebra over a field , partial differential equation , physics , quantum mechanics , dirac operator , neutrino , boundary value problem

The purpose of the paper is to study the asymptotic behavior at infinity of solutions of a perturbed Dirac equation inR mcalled k ‐monogenic. Every such solution is a solution of the Helmholtz equation with values in a complex Clifford algebra. The main goal is to use the far‐field pattern to characterize the radiating (outgoing) k ‐monogenic functions among the radiating solutions of the Helmholtz equation. It will be shown that an algebraic condition characterizes these far‐field patterns. Copyright © 2012 John Wiley & Sons, Ltd.

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