ch39-p030 - 30. In analogy to Eq. 39-10, the normalized...

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30. In analogy to Eq. 39-10, the normalized wave function in two dimensions can be written as , 22 (, ) () () s i n s i n 4 sin sin . xy x y y x nn n n xx yy y x x y n n x yx y x y LL n n L L π ψ ψψ ⎛⎞ == ⎜⎟ ⎝⎠ = The probability of detection by a probe of dimension x y ∆ ∆ placed at ( , ) x y is 2 , 4( ) s i n s i n . y x x y n n pxy x y L L ∆∆ =∆ = A detection probability of 0.0450 of a ground-state electron ( 1 = = ) by a probe of area 2 400 pm ∆∆ = placed at ( , ) ( /8, /8) L L = implies 2 2 4 2 4(400 pm ) 20 pm 0.0450 sin sin
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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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