- #1
moss
- 49
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I want to compute the following when the 4-vectors are already given i.e [tex]x^{\mu},y^{\mu}[/tex] are given and are orthonormal ( x, y are complex vectors);
\begin{eqnarray}
\left(/\negmedspace\negmedspace x/\negmedspace\negmedspace y\right)^{2} & = & /\negmedspace\negmedspace x/\negmedspace\negmedspace y/\negmedspace\negmedspace x/\negmedspace\negmedspace y\\
& = & -/\negmedspace\negmedspace x/\negmedspace\negmedspace y/\negmedspace\negmedspace y/\negmedspace\negmedspace x\\
& = & -/\negmedspace\negmedspace x/\negmedspace\negmedspace x\\
& = & -1\\
\Rightarrow/\negmedspace\negmedspace x/\negmedspace\negmedspace y & = & i
\end{eqnarray}
Is the above computation right?
I only want to compute the last equation and want to confirm the above.
\begin{eqnarray}
\left(/\negmedspace\negmedspace x/\negmedspace\negmedspace y\right)^{2} & = & /\negmedspace\negmedspace x/\negmedspace\negmedspace y/\negmedspace\negmedspace x/\negmedspace\negmedspace y\\
& = & -/\negmedspace\negmedspace x/\negmedspace\negmedspace y/\negmedspace\negmedspace y/\negmedspace\negmedspace x\\
& = & -/\negmedspace\negmedspace x/\negmedspace\negmedspace x\\
& = & -1\\
\Rightarrow/\negmedspace\negmedspace x/\negmedspace\negmedspace y & = & i
\end{eqnarray}
Is the above computation right?
I only want to compute the last equation and want to confirm the above.
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