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The eigenfunctions of the radial part of the Hamiltonian operator depend on both the principal and angular momentum quantum numbers, n and e. For n = 2, the possible values of are 0, 1. The radial wavefunctions in each of these cases have the form, R20 (r) = N20 2- R₁₁(r) = N₁₁ ≈ 2. r r A e a a This function has the opposite signs at r= ao and r = 4 ao- -r/2a where the Nne are normalization constants in each case. (a) Plot these two wave functions and match the features indicated below with the appropriate wave function. This function has no radial nodes (for r> 0). A. R21 B.R20 This function has a radial node near -r1240

The eigenfunctions of the radial part of the Hamiltonian operator depend on both the principal and angular momentum quantum numbers, n and e. For n = 2, the possible values of are 0, 1. The radial wavefunctions in each of these cases have the form, R20 (r) = N20 2- R₁₁(r) = N₁₁ ≈ 2. r r A e a a This function has the opposite signs at r= ao and r = 4 ao- -r/2a where the Nne are normalization constants in each case. (a) Plot these two wave functions and match the features indicated below with the appropriate wave function. This function has no radial nodes (for r> 0). A. R21 B.R20 This function has a radial node near -r1240

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The eigenfunctions of the radial part of the Hamiltonian operator depend on both the principal and angular momentum quantum numbers, n and e. For n = 2, the possible values of are 0, 1. The radial wavefunctions in each of these cases have the form, R20 (r) = N20 2- # This function has a radial node near R₁1 (r) = N₂1 r r 4A a a This function has the opposite signs at r= ao and r= 4 ao- -r/2a -r1240 where the Nne are normalization constants in each case. (a) Plot these two wave functions and match the features indicated below with the appropriate wave function. A. R21 This function has no radial nodes (for r> 0). B.R20 (1)-2. 0
Transcribed Image Text:The eigenfunctions of the radial part of the Hamiltonian operator depend on both the principal and angular momentum quantum numbers, n and e. For n = 2, the possible values of are 0, 1. The radial wavefunctions in each of these cases have the form, R20 (r) = N20 2- # This function has a radial node near R₁1 (r) = N₂1 r r 4A a a This function has the opposite signs at r= ao and r= 4 ao- -r/2a -r1240 where the Nne are normalization constants in each case. (a) Plot these two wave functions and match the features indicated below with the appropriate wave function. A. R21 This function has no radial nodes (for r> 0). B.R20 (1)-2. 0
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