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Quantum mechanics, vectorrepresentation

  1. Jun 3, 2012 #1
    1. The problem statement, all variables and given/known data

    For the function

    [itex]\chi^{(y)}=c_{1}

    \left( \begin{array}{ccc}
    -1\\
    i\sqrt{2}\\
    1\end{array} \right)
    +

    c_{2}

    \left( \begin{array}{ccc}
    1\\
    0\\
    1\end{array} \right)
    +
    c_{3}

    \left( \begin{array}{ccc}
    -1\\
    -i\sqrt{2}\\
    1\end{array} \right)
    [/itex]

    how would i go on about finding the constants, is this enough information or is something missing?
     
  2. jcsd
  3. Jun 3, 2012 #2

    dextercioby

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    Science Advisor
    Homework Helper

    The only condition on the vector is to be normalized. This won't provide you with nothing but a condition involving all 3 constants altogether. There is an infinite number of solutions.
     
  4. Jun 3, 2012 #3
    So what do i need to find them? I got the vectors from the Jy-matrix and its eigenvalues, could i use this somehow? I also know J+, J-, Jz and the eigenvectors/values for the (chi)z, could this be usefull? I can't figure out how to put it together but the full solution requires a normalized vector.
     
  5. Jun 3, 2012 #4

    vela

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    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Solution to what?
     
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