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

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