1. Oct 12, 2012

### cragar

This is not a homework problem, just trying to figure out what shankar did.
$U|u_i>=u_i|u_i>$
$U|u_j>=u_j|u_j>$
Ok so we have these 2 equations and then shankars says to take the adjoint
of the second equation and dot each side with the corresponding side of the first equation,
we get
$<u_j|U^tU|u_i=u_i{u_j}^*<u_j|u_i>$
is the ${u_j}^*$ just the complex conjugate of $u_j$ ?
Now that I typed it out it seems more clear I originally thought there was an extra factor.

2. Oct 13, 2012

### Einj

Yes, u* is the complex conjugate of u.