Lorentz transformation

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Homework Statement



Given that the derivative θμ transforms as a covariant vector ,show that θμ transforms as a contravariant vector.

Homework Equations



Please look the attachement

The Attempt at a Solution


Does anyone know how i should go to prove it ?Is it just a trivial substitution ?
 

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Answers and Replies

  • #2
gabbagabbahey
Homework Helper
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Homework Statement



Given that the derivative θμ transforms as a covariant vector ,show that θμ transforms as a contravariant vector.

Homework Equations



Please look the attachement

The Attempt at a Solution


Does anyone know how i should go to prove it ?Is it just a trivial substitution ?

What are θμ & θμ supposed to mean exactly? Uf the problem is just to show that [itex]\frac{\partial}{\partial x_\mu}[/itex] transforms as a contravariant vector, just try an analogous proof to the covariant case in your image. If you get stuck, show your work.
 

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