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Matrix Representation of Operators

  1. Oct 19, 2013 #1
    1. The problem statement, all variables and given/known data

    This is quite a long problem, and I have most of it figured out, but I am getting stuck on the very last part of the problem. My problem is I do not understand how to find [itex]\left\langle\psi|a_1\right\rangle[/itex] in the very last line. Is [itex]\left\langle\psi|a_1\right\rangle=(\left\langle a_1|\psi\right\rangle)^*[/itex]

    2. Relevant equations

    In a given basis [itex]\left\langle a^{(i)}\right|[/itex], operators are represented by [itex]A_{i,j}=\left\langle a^{(j)}|A|a^{(i)}\right\rangle[/itex]

    3. The attempt at a solution

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    Last edited: Oct 19, 2013
  2. jcsd
  3. Oct 19, 2013 #2
    oh dang. this doesnt recognize braket package! just one sec
     
  4. Oct 19, 2013 #3
    ok. so sorry for posting so much stuff. but this is the only part of the question I cannot figure out and I do not have a chance to talk to anyone before the mid term. so if someone would take the time to look at it I would be very greatful.
     
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