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# news_042611 - x i-1-8 π 2 mc 2 Δ x 2 hc 2 E-V x i ψ E x...

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Stuff for Tuesday, April 26, 2011 1094 tomorrow. Quiz #5 Friday on Q9-11. SchroSolver.exe available from H133 page. Save, double-click to run. Summary: Specify atomic levels by { n , l , m , m s } . One electron for each combination. Selection rule for photon transitions: Δ l = ± 1 = metastable states Local wavelength: [ 2 π/λ ( x )] 2 = - d 2 f / dx 2 f ( x ) Schr¨odinger equation from K = p 2 / 2 m = [( 2 π ~ ) ] 2 / 2 m = E - V ( x ) : - ~ 2 2 m d 2 ψ E ( x ) dx 2 + V ( x ) ψ E ( x ) = E ψ E ( x ) numerical: ψ E ( x i + 1 ) = 2 ψ E ( x i ) - ψ E

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Unformatted text preview: ( x i-1 )-8 π 2 mc 2 Δ x 2 ( hc ) 2 [ E-V ( x i )] ψ E ( x i ) Energy eigenfunctions of the hydrogen atom l = 0 (s-wave) radial wave functions and absolute squares Plots of | Re Ψ( x , y , z = ) | 2 for hydrogen n = 3 n = n r + l with n r = 1 , 2 ,... and l = , 1 ,... Here ( n r , l ) = ( 3 , ) , ( 2 , 1 ) , and ( 1 , 2 )...
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news_042611 - x i-1-8 π 2 mc 2 Δ x 2 hc 2 E-V x i ψ E x...

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