P7F.6 Confirm that Y, taken from Table 7F.1, is normalized. You will need to integrate YY,41 over all space using the relevant volume element: 1,+1 1,+1 volume element CYY sin@d®dø 1,+141,+1 Je=0Jo=0 Table 7F.1 The spherical harmonics Ym (0,0) 1/2 4 (유) 1/2 3 1 cose 1/2 3 ±1 sinde*i 1/2 (3 cos'0-1) 16T 1/2 15 ±1 cose sinde*i tip 1/2 15 +2 32n 1/2 7 (5 cos'e-3cose) 3 16T 1/2 21 ±1 (5 cos'e-1)sin Oe** 64T 1/2 105 ±2 sin'e coseei0 32n 1/2 35 13 sin'de* 64T 2.
P7F.6 Confirm that Y, taken from Table 7F.1, is normalized. You will need to integrate YY,41 over all space using the relevant volume element: 1,+1 1,+1 volume element CYY sin@d®dø 1,+141,+1 Je=0Jo=0 Table 7F.1 The spherical harmonics Ym (0,0) 1/2 4 (유) 1/2 3 1 cose 1/2 3 ±1 sinde*i 1/2 (3 cos'0-1) 16T 1/2 15 ±1 cose sinde*i tip 1/2 15 +2 32n 1/2 7 (5 cos'e-3cose) 3 16T 1/2 21 ±1 (5 cos'e-1)sin Oe** 64T 1/2 105 ±2 sin'e coseei0 32n 1/2 35 13 sin'de* 64T 2.
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Transcribed Image Text:P7F.6 Confirm that Y, taken from Table 7F.1, is normalized. You will need to
integrate YY,41 over all space using the relevant volume element:
1,+1
1,+1
volume element
CYY sin@d®dø
1,+141,+1
Je=0Jo=0
Transcribed Image Text:Table 7F.1 The spherical harmonics
Ym (0,0)
1/2
4
(유)
1/2
3
1
cose
1/2
3
±1
sinde*i
1/2
(3 cos'0-1)
16T
1/2
15
±1
cose sinde*i
tip
1/2
15
+2
32n
1/2
7
(5 cos'e-3cose)
3
16T
1/2
21
±1
(5 cos'e-1)sin Oe**
64T
1/2
105
±2
sin'e coseei0
32n
1/2
35
13
sin'de*
64T
2.
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