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Unformatted text preview: normalized eigenstates of the infinite square well ( V = 0 for 0 x L , = otherwise.): ( x ,0) = A [ 1 (x) + 2 ( x )] (a). Normalize ( x ,0) (i.e., calculate A ). (b). Calculate ( x , t ) and | ( x , t )| 2 . Write | ( x , t )| 2 explicitly as a function of and . Describe the time-dependence of | (x,t)| 2 . (c). Calculate < > (hint: the result depends on time). Describe your result. NOTE: sin a sin b = 1 2 [cos( a-b )-cos( a + b )] x cos ax dx = 1 a 2 cos ax + x a sin ax...
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