Wavelet Electrodynamics I

Details Wavelet Electrodynamics I Wavelet Electrodynamics I

2001-08-20

arxiv.org/abs/math-ph/0108009v1

Physics Letters A 168, 28-34, 1992

Physics

Mathematical Physics

8 Pages in Plain Tex

Scientific paper

10.1016/0375-9601(92)90324-F

A new representation for solutions of Maxwell's equations is derived. Instead of being expanded in plane waves, the solutions are given as linear superpositions of spherical wavelets dynamically adapted to the Maxwell field and well-localized in space at the initial time. The wavelet representation of a solution is analogous to its Fourier representation, but has the advantage of being local. It is closely related to the relativistic coherent-state representations for the Klein-Gordon and Dirac fields developed in earlier work.

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