Electrodynamics of Hyperbolically Accelerated Charges: II. Does a Charged Particle with Hyperbolic Motion Radiate?

✍ Scribed by E. Eriksen; Ø. Grøn

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 250 KB
• Volume: 286
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.2000.6095

✦ Synopsis

The question whether a hyperbolically moving charge emits radiation is discussed. In order to arrive at an unambiguous answer the question is considered from several points of view. The power spectrum of the electromagnetic field due to a hyperbolically moving charge is deduced. Also we analyse the field in order to clarify whether it contains a radiation zone. Our conclusion is that a charge with constant proper acceleration emits radiation in spite of the fact that the Poynting vector of the field vanishes everywhere in the instantaneous inertial rest frame of the charge. 2000 Academic Press W. Pauli [2] wrote in 1921 (English translation in 1958):

Hyperbolic motion thus constitutes a special case, for which there is no formation of a wave zone nor any corresponding radiation. (Radiation, on the other hand, does occur when two uniform, rectilinear motions are connected by a ``portion'' of hyperbolic motion.