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Let the system initially (at t 0) is in the state (x,0) = , (x) + e-ia (x). Check if (x, 0) is normalized

 

Let the system initially (at t 0) is in the state (x,0) = , (x) + e-ia (x). Check if (x, 0) is normalized or not. Find out (x, t). Find out Ju(x, t)|2. Is it time dependent? How would you describe the time variation in Ju(x, t)|. a) b) c) d) Calculate the expectation value of the position. Does it oscillate in time? What is the frequency of oscillations?

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