Re: What is a "four vector"?
From: Dirk Van de moortel (dirkvandemoortel_at_ThankS-NO-SperM.hotmail.com)
Date: 07/23/04
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Date: Fri, 23 Jul 2004 15:34:34 +0200
"Bjoern Feuerbacher" <feuerbac@thphys.uni-heidelberg.de> wrote in message news:cdqu9p$46h$1@news.urz.uni-heidelberg.de...
> Donald G. Shead wrote:
> > Just one of Unky Al's favorites is a "four vector". What the heck is it?
>
> A four-dimensional vector, with one "time-like" and three "space-like"
> components, which transforms under Lorentz transformations like the
> position four-vector.
>
> Examples:
> position and time: x^mu = (ct, x, y, z)
> energy and momentum: p^mu = (E/c, p_x, p_y, p_z)
> charge and current density: j^mu = (c rho, j_x, j_y, j_z)
> electrodynamics potentials: A^mu = (phi, A_x, A_y, A_z)
> derivatives: del_mu = (1/c del/del t, nabla)
>
> Etc.
>
> Note: ^ and _ implies super- and subscripts, respectively; this
> distinguishes contra- from covariant four vectors. And has nothing to
> do with "to the power of", BTW.
You'll soon find out that Shead's four-vector is actually
( f, w, g, a )
Dirk Vdm
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