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A simple dirac problem

  1. Oct 5, 2012 #1
    If i have an operator (for example Sz) and then add it on two kets in a row

    i e. Sz|1>|0>

    How could you calculate this?

    should i first add it on the |1> and then the |0> ?


    help plz
     
  2. jcsd
  3. Oct 6, 2012 #2

    TSny

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    The answer would depend on how Sz is defined. Sz could be an operator that is defined to act only on the first ket in |1>|0>, so Sz|1>|0> = (Sz|1>)|0>. Or it could be defined to act only on the second ket.

    Or, you could have a case where Sz = S1z +S2z where S1z acts only on the first ket and S2z acts only on the second ket. In that case Sz|1>|0> = (S1z|1>)|0>+|1>(S2z|0>)
     
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