- #1

stephen cripps

- 15

- 0

## Homework Statement

I'm having trouble with understanding four vectors in particle physics.

I'm reading this wikipedia page,http://en.wikipedia.org/wiki/Einstein_notation, and its telling me that

## v^\mu= \begin{pmatrix} \mu_0 \\ \mu_1 \\ \mu_2 \\ \mu_3 \end{pmatrix} ##

and

## v_\mu= \begin{pmatrix} \mu_0 & \mu_1 & \mu_2 & \mu_3 \end{pmatrix} ##

But the raising indices equation gives

## v^\nu= \eta^{\mu\nu} v_\mu ##

Which doesn't work if I do matrix multiplication with

## \eta^{\mu\nu}= \begin{pmatrix} -1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix} ##

as it gives ## v^\nu## as a 1x4 not a 4x1 as I would expect from the initial definitions, which leads me to think my initial definitions of the superscripts and subscripts are wrong.

Could anybody help me out?

## Homework Equations

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## The Attempt at a Solution

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