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Unformatted text preview: normalized eigenstates of the infinite square well ( V = 0 for 0 ≤ x ≤ L , = ∞ otherwise.): Ψ ( x ,0) = A [ ψ 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 timedependence of  Ψ (x,t) 2 . (c). Calculate < > (hint: the result depends on time). Describe your result. NOTE: sin a sin b = 1 2 [cos( ab )cos( a + b )] x cos ax dx = ∫ 1 a 2 cos ax + x a sin ax...
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This note was uploaded on 09/20/2010 for the course PHYS 486 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Staff
 Work, Quantum Physics

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