(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the [itex] \mu=0 [/itex] component of the Minkowski force law [itex]K^\mu=q\eta_\nu F^{\mu\nu}.[/itex] (Einstien summation convention applies.)

2. Relevant equations

[tex]\eta_\nu=\frac{1}{\sqrt{1-u^2/c^2}}(-c,u_x,u_y,u_z) [/tex]

[itex] F^{\mu\nu} [/itex] is the field tensor where

[tex]F^{00}=0,F^{01}=\frac{E_x}{c},F^{02}=\frac{E_y}{c},F^{03}=\frac{E_x}{c}.[/tex]

3. The attempt at a solution

[tex] K^0=q(\eta_0 F^{00} +\eta_1 F^{01} +\eta_2 F^{02} +\eta_3 F^{03}) = \frac {q \gamma}{c}(u_x E_x + u_y E_y +u_z E_z) = \frac {q \gamma}{c}(\bf{u}.\bf{E})[/tex]

This all seems ok to me, but I have no idea what it actually means. What does [itex] K^0 [/itex] physically represent and what does [itex] \bf{u}.\bf{E} [/itex] mean.

Thank you for your help.

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# Homework Help: Minkowsky force and physical interpretation.

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