Solving for constants given boundary conditions

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Homework Statement



[PLAIN]http://img843.imageshack.us/img843/3515/11193469.png


Homework Equations





The Attempt at a Solution



[PLAIN]http://img801.imageshack.us/img801/4829/scan0001i.jpg

An upload of my attempt to solve the problem. Not sure to interpret the results.
A = B = 0
C = -C*
C = Ce-2ikL
 
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That's not quite right. There can be other values of k for which sin(kL)=0. This means that B is not necessarily zero. Hence solve the equation sin(kL)=0 for k.
After this to get the B you have to normalize the wavefunction.