- #1
noamriemer
- 50
- 0
Hi guys!
There is something I would like to get your help with...
I am looking at the equation:
[itex]W^{\mu}=-\frac{1}{2} \varepsilon^{\mu\nu\lambda\sigma}M_{\nu\lambda}p_{\sigma}[/itex]
Which is, if I understand correctly,a Casimir Operator.
Now, I wish to look at a particle in its rest reference, meaning,
[itex]p_\mu=(m,0,0,0)[/itex]
Why would these conditions yield :
[itex]W^\mu =\frac {1} {2} m\varepsilon^{\mu\nu\lambda0}M_{\nu\lambda}[/itex]
?
I can seem to understand how the indices change...
The next thing I want to do, is understand what happens if I take [itex]m^2<0[/itex]
Why does this condition mean that the momentum vector would be
[itex]p_\mu=(0,0,0,m)[/itex]
?
Thank you
There is something I would like to get your help with...
I am looking at the equation:
[itex]W^{\mu}=-\frac{1}{2} \varepsilon^{\mu\nu\lambda\sigma}M_{\nu\lambda}p_{\sigma}[/itex]
Which is, if I understand correctly,a Casimir Operator.
Now, I wish to look at a particle in its rest reference, meaning,
[itex]p_\mu=(m,0,0,0)[/itex]
Why would these conditions yield :
[itex]W^\mu =\frac {1} {2} m\varepsilon^{\mu\nu\lambda0}M_{\nu\lambda}[/itex]
?
I can seem to understand how the indices change...
The next thing I want to do, is understand what happens if I take [itex]m^2<0[/itex]
Why does this condition mean that the momentum vector would be
[itex]p_\mu=(0,0,0,m)[/itex]
?
Thank you