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Unformatted text preview: = 0 is given by ( x ,0 ) = x C sin x L for 0 < x < L / 2 x L / 2 C is a constant of normalization. Find the wave function ( x , t ) for t > 0. Hint: Write the time evolution operator in the x-representation, using the energy eigenvalues and eigenfunctions associated with this potential, and evaluate the necessary integral. Which of the eigenfunctions contribute to ( x , t ) ? You should read: Liboff, Chapters 4 and 5....
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- Spring '09