- #1
- 3,766
- 297
He defines
[tex] U(1 + \delta \omega) \approx 1 + \frac{i}{2} \delta \omega_{\mu \nu} M^{\mu \nu} [/tex]
Then he considers
[tex] U(\Lambda^{-1} \Lambda' \Lambda) [/tex]
with [itex] \Lambda' = 1 + \delta \omega' [/itex]
He then says that
[tex] U(\Lambda^{-1} \Lambda' \Lambda) \approx \delta \omega_{\mu \nu} \Lambda^{\mu}_{\, \, \rho} \Lambda^{\nu}_{\, \, \sigma} M^{\rho \sigma} [/tex]
I don't see why this is true. (by the way, I assume the [itex] \omega [/itex] is actually meant to be [itex] \omega'[/itex] ). I don't see how the [itex] \Lambda^{-1} \Lambda [/itex] turned into the expression on the right.
thanks
[tex] U(1 + \delta \omega) \approx 1 + \frac{i}{2} \delta \omega_{\mu \nu} M^{\mu \nu} [/tex]
Then he considers
[tex] U(\Lambda^{-1} \Lambda' \Lambda) [/tex]
with [itex] \Lambda' = 1 + \delta \omega' [/itex]
He then says that
[tex] U(\Lambda^{-1} \Lambda' \Lambda) \approx \delta \omega_{\mu \nu} \Lambda^{\mu}_{\, \, \rho} \Lambda^{\nu}_{\, \, \sigma} M^{\rho \sigma} [/tex]
I don't see why this is true. (by the way, I assume the [itex] \omega [/itex] is actually meant to be [itex] \omega'[/itex] ). I don't see how the [itex] \Lambda^{-1} \Lambda [/itex] turned into the expression on the right.
thanks