CHINESE JOURNAL OF PHYSICS VOL. 39, NO. 2 APRIL 2001

Generalized Coulomb Potential and Field Equations in
Accelerated Frames Based on the Wu Transformation

Andreas Ernst^* and Jong-Ping Hsu

Department of Physics, University of Massachusetts Dartmouth,

North Dartmouth, MA 02747-2300, USA
(Received August 18, 2000)

A Modified Poisson equation and the Coulomb potential of a point charge in a constant-linear-acceleration frame are obtained. The generalized Maxwell equations for both inertial and linearly accelerated frames are discussed. These results are obtained on the basis of the `Wu transformation', which is a generalized Lorentz transformation for constant-linear-acceleration frames and which reduces to the Lorentz transformation with four-dimensional symmetry in the limit of zero acceleration. Some physical implications of the results regarding the Schroedinger and Dirac equations are discussed.

PACS. 41.20.-q $\;$- Electric, magnetic, and electromagnetic fields.
PACS. 03.65.Pm - Relativistic wave equations.
PACS. 11.30.Cp $\,$- Lorentz and Poincaré invariance.

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