By David Ginsburg

ISBN-10: 2881247199

ISBN-13: 9782881247194

Treats convinced difficulties and techniques of theoretical physics and astrophysics that are linked to microscopic and macroscopic electrodynamics and fabric in regards to the idea of transition radiation and transition scattering.

"'An first-class resource of knowledge and insights on those topics...potentially very priceless either for study scholars physicists.'." -- Professor C.H. Llewellyn Smith of FRS, Chairman of Physics, Clarendon Laboratory, Oxford college, England

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**Additional info for Applications of Electrodynamics in Theoretical Physics and Astrophysics**

**Example text**

As noted above, the field varies as R- 1 (in the wave zone) under the condition R » c2 (1 - v2 /c 2 )/v. 9'), of course, replacing t with t' in: them. 9") can be satisfied with t » c/w; that is, the wave zone appears only after a sufficiently long time has passed since the charge reached the turning point for which t' = 0. In this case the wave zone does not appear in the whole space since for a specified observation time t, even if it satisfies the condition t » c/w, the inequality (3;9") is not satisfied for all emission times t'.

Jm, le=-, Jm=--2 mxm. 22) will contain a term proportional to m). If the magnetic moment m is proportional to the angular momentum J (as is frequently the case) then the electromagnetic angular momentum Je in fact has no significance, it must be added RADIATION REACTION 33 to J and the total angular momentum must be "renormalized" by equating it to the observed value (we are assuming here a "point" particle). 22)). In conclusion, we note that in the following sections of the book we shall encounter somewhat different problems of radiation reaction.

Of course, a particle of rest mass m cannot be accelerated to a velocity v ;;:::: c as clearly follows simply from the expression for the particle's energy, tC = mc 2 (1 - v2 /c 2 )- 1' 2 • But there still remains the option of particles (tachyons) that always move with a velocity v > c and whose energy is S = imc 2 (1-v2 /c 2 )- 1' 2 = mc 2 (v 2 /c 2 -1)- 1' 2 • When we consider motion with the velocity v > c the real difficulties are due to the violations of causality that are then possible (the condition v < c was imposed because of this rather than to avoid violation of relativistic invariance; see [3, 14]).

### Applications of Electrodynamics in Theoretical Physics and Astrophysics by David Ginsburg

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