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Four Vector

Four Vector

Feb 09, 20251 min read

  • Physics

Topics

  • Covariant Vector
  • Contravariant Vector

xμ​=(ct,r)

  • c is the speed of light
  • r is the position vector

pμ​=(cE​,p​)

kμ​=(ω/c,k)

  • k is the linear Wavenumber

Aμ​=(V/c,A)

Jμ​=(ρc,J)

  • ρ is the charge density

Graph View

  • Topics
  • xμ=(ct,r⃗)\displaystyle x_{\mu}=(ct,\vec{r})xμ​=(ct,r)
  • pμ=(Ec,p⃗)\displaystyle p_{\mu}=\left( \frac{E}{c},\vec{p} \right)pμ​=(cE​,p​)
  • kμ=(ω/c,k⃗)\displaystyle k_{\mu}=\left( \omega /c,\vec{k} \right)kμ​=(ω/c,k)
  • Aμ=(V/c,A⃗)\displaystyle A_{\mu}=(V /c, \vec{A})Aμ​=(V/c,A)
  • Jμ=(ρc,J⃗)\displaystyle J_{\mu}=(\rho c,\vec{J})Jμ​=(ρc,J)

Backlinks

  • Special Relativity
  • Vector

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