This is not a homework problem, just trying to figure out what shankar did.(adsbygoogle = window.adsbygoogle || []).push({});

[itex] U|u_i>=u_i|u_i> [/itex]

[itex] U|u_j>=u_j|u_j> [/itex]

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

[itex] <u_j|U^tU|u_i=u_i{u_j}^*<u_j|u_i> [/itex]

is the [itex] {u_j}^* [/itex] just the complex conjugate of [itex] u_j [/itex] ?

Now that I typed it out it seems more clear I originally thought there was an extra factor.

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# Adjoint of an equation

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