Four Vector

#Physics

Topics

• Covariant Vector
• Contravariant Vector

$\displaystyle x_{\mu}=(ct,\vec{r})$

• $\displaystyle c$ is the speed of light
• $\displaystyle \vec{r}$ is the position vector

$\displaystyle p_{\mu}=\left( \frac{E}{c},\vec{p} \right)$

$\displaystyle k_{\mu}=\left( \omega /c,\vec{k} \right)$

• $\displaystyle \vec{k}$ is the linear Wavenumber

$\displaystyle A_{\mu}=(V /c, \vec{A})$

$\displaystyle J_{\mu}=(\rho c,\vec{J})$

• $\displaystyle \rho$ is the charge density