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Transfer matrix for a finite length? (Quantum mechanics)

  1. Mar 5, 2016 #1
    1. The problem statement, all variables and given/known data
    I'm struggling to find a solution to exercise (*b). I have uploaded a pdf of the assignment.

    Please advise me at your convenience.

    2. Relevant equations
    [tex]x(x_l^+) = T(x_l^+, x_l^-)x(x_l^-)[/tex]

    3. The attempt at a solution
    [tex]x(a^-) = \frac{\psi(a^-)}{\psi(a^-)} , T(a^+, a^-) \left( \frac{\psi(a^-)}{\psi(a^-)} \right) [/tex]

    Now, the final result is a matrix of which the rows and columns consist of sine and cosine terms. I have an intuition for why the matrix looks like that, but do not know how to progress to that point. My intution tells me that since the wave function might be restated as a linear combination of vectors, then I could use Euler's identity to reexpress it.
     

    Attached Files:

  2. jcsd
  3. Mar 10, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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