10.6. Use the power-series solution of the hydrogen atom to determine u3,0(p). Ignore normalization. Compare your answer with (10.45a).

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See image below. Referenced equation (10.45) is provided in the second picture.

10.6. Use the power-series solution of the hydrogen atom to determine u3.0(p).
Ignore normalization. Compare your answer with (10.45a).
Transcribed Image Text:10.6. Use the power-series solution of the hydrogen atom to determine u3.0(p). Ignore normalization. Compare your answer with (10.45a).
1= 2, n, = 0. The corresponding normalized radial wave functions are given by
%3D
3/2
2Zr
2(Zr)2
R3,0 = 2
Зао
27a
e-Zr/3a0
2.
(10.45a)
3a0
4/2
3/2
Zr
Zr
1
e-Zr/3ao
(10.45b)
R3,1=
9.
Зао
6ao.
do
2/2
3/2
Z
Zr
-Zr/3a0
(10.45c)
e
R3,2 =
27/5 (3a0.
ao
Transcribed Image Text:1= 2, n, = 0. The corresponding normalized radial wave functions are given by %3D 3/2 2Zr 2(Zr)2 R3,0 = 2 Зао 27a e-Zr/3a0 2. (10.45a) 3a0 4/2 3/2 Zr Zr 1 e-Zr/3ao (10.45b) R3,1= 9. Зао 6ao. do 2/2 3/2 Z Zr -Zr/3a0 (10.45c) e R3,2 = 27/5 (3a0. ao
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