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    Matrix Operator Question

    Homework Statement The matrix representation of an operator is \left( \begin{array}{cccc} 1 & 0 & a & 0\\ 0 & 1 & 0 & b\\ a & 0 & 1 & 0\\ 0 & b & 0 & 1\\ \end{array} \right) Show that \frac{1}{\sqrt{2}} \left( \begin{array}{cccc}1 & 0 & 1 & 0\end{array} \right) is an eigenstate of the...
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    QM step potential problem

    Homework Statement Consider particles incident on a one dimensional step function potential, V(x)=Vphi(x) with energy E>V. Calculate the reflection coefficent for particles incident from the right (Barrier height=V at x>0, Barrier height=0 at x<0). Consider the limits as E tends to V and E...
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