Re: A question (fwd)

[Bob Sciamanda <trebor@VELOCITY.NET>]

I suspect that the inquiry was probing the radiation reaction force.

If you include the "self force" of radiation reaction:

F_s = (q^2/6*PI*epsilon*c^3)*(da/dt), where the derivative is the "jerk",

then a lone electron follows the DE:

mx'' =(q^2/6*PI*epsilon*c^3) *x''' , where ' denotes a time derivative.

This has solutions in which the electron flies off to infinity almost
instantaneously.

This is an unsolved problem and points to the limitations and difficulties
inherent in the model of the electron and the consequent calculation of
Fs.

(Conceptually, one might ask if there could even be a radiation reaction
force in a single particle universe.)


Bob Sciamanda
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
http://www.velocity.net/~trebor
----- Original Message -----
From: "brian whatcott" <inet@INTELLISYS.NET>
To: <PHYS-L@lists.nau.edu>
Sent: Wednesday, April 11, 2001 06:24 PM
Subject: Re: A question (fwd)


> It is in the nature of tilting at windmills that at times
> the windmills do not roll over and die. All the same,
> remembering a long Indian tradition of advanced maths
> I find it better to provide a supportable answer to a question
> as asked, rather than using some other assumptions more plausible
>  to my modest insights. I thereby hope that some deeper meaning
> may become clear over time. What second particular charged geometry
> would you assume in answering this question Bob, as a matter
> of interest?
>
> Brian
>
> At 10:14 4/11/01 -0400, you wrote:
> > Brian,
> > If (as I think you are doing) we read the question as asking about a
> > universe consisting ONLY of a single charged particle, then I would
answer
> > that this is a nonsense question. /snip/
> > Bob Sciamanda (W3NLV)
>
>
> > > > From: "Prof. S.D. Agashe" <eesdaia@ee.iitb.ac.in>
> > > >
> > > > What is(are) the differential equation(s) governing
> > > > the "classical" motion of a single charged body?
> > > >
> > > > S D Agashe
> > >
> > >
> > > The quixotic answer is that the three orthogonal components
> > > of velocity would be constant, and acceleration would be zero
> /snip/
>
> brian whatcott <inet@intellisys.net>  Altus OK
>                 Eureka!