ch39-p029 - 29. The discussion on the probability of...

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The probability of detection by a probe of dimension x y ∆ ∆ placed at ( , ) x y is 2 22 , 4( ) (, ) s i n s i n . xy y x nn x y n n pxy x y LL L L π ψ ⎛⎞ ∆∆ =∆ = ⎜⎟ ⎝⎠ With 150 pm LLL == = and 5.00 pm ∆ =∆ = , the probability of detecting an electron in ( , ) (1,3) = state by placing a probe at (0.200 , 0.800 ) is () ( ) 2 2 2 2 2 3 4( ) 4(5.00 pm) 3 sin sin sin 0.200 sin 0.800 (150 pm) 5.00 pm 4 sin 0.200 sin 2.40 150 pm 1.4 10 . y x x y n n p L L L L L L ππ = 29. The discussion on the probability of detection for one-dimensional case found in Section 39-4 can be readily extended to two dimensions. In analogy to Eq. 39-10, the normalized wave function in two dimensions can be written as
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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