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Unitary operator

  1. May 10, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey guys.

    http://img397.imageshack.us/img397/7987/scan0001q.jpg [Broken]

    I have this operator and I need to check if it's Unitary.
    I checked the "length of vector preservation test" as you can see in the pic and I came up with that, that it does not keep the length of a vector.
    Does that mean that it's not a Unitary operator?

    Thanks.


    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 10, 2009 #2

    Cyosis

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    Homework Helper

    This doesn't prove anything, because you're not doing your inner product correctly. What is the definition of the standard complex inner product for vectors? Secondly what is the definition of a unitary operator?
     
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