J 3 Hi, I'm struggling with this part of a question, if someone could walk me through it that'd be helpful

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J 3 Hi, I'm struggling with this part of a question, if someone could walk me through it that'd be helpful
The angular momentum raising operator for the z-component of angular
momentum
Î+ = Îx + ily
can be expressed in spherical polar coordinates as
Î+ = hei ·(30 +
The spherical harmonic, Ylm (0, 0), is
Y1₁0(0,0) = 1/2 √
Use the above to calculate Y₁1(0, 0). [4 marks]
[Hint: si
"sin
+ icot 0.
900).
მი
3
Cos 0.
sin³0 de = 4/3]
Transcribed Image Text:The angular momentum raising operator for the z-component of angular momentum Î+ = Îx + ily can be expressed in spherical polar coordinates as Î+ = hei ·(30 + The spherical harmonic, Ylm (0, 0), is Y1₁0(0,0) = 1/2 √ Use the above to calculate Y₁1(0, 0). [4 marks] [Hint: si "sin + icot 0. 900). მი 3 Cos 0. sin³0 de = 4/3]
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