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Dealing with complex operation in Quantum mechanics

  1. Mar 2, 2014 #1
    In proving that for the norm to be preserved, U must be unitary. I ran across this:


    if λ=i, it says that then it follows that Im(<ø|ψ>)=Im(<Uø|Uψ>), how's this? I know that Re(iz)=-Im(z) in complex, but here the inner product <ø|ψ> is not z, or is it?

    If you could point out how this took place, I would be thankful!
  2. jcsd
  3. Mar 2, 2014 #2
    Yes, <ø|ψ> is a complex number, if that's what you're asking - It's not entirely clear to me.
  4. Mar 2, 2014 #3
    Yes, thanks. I noticed that after I posted this!!
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