Q7:3 Given the spherical harmonic Y22 (0, o) = Vsin? 0 exp (2io), use the lowering op- erator, L, to determine Y2 (0, ). [You may use the erpression in 7.2 for L- and that L-Yem (0, ø) = N-Yem-1 (0, 4) with N- = h ((l+1-m) (l + m)]± .
Q7:3 Given the spherical harmonic Y22 (0, o) = Vsin? 0 exp (2io), use the lowering op- erator, L, to determine Y2 (0, ). [You may use the erpression in 7.2 for L- and that L-Yem (0, ø) = N-Yem-1 (0, 4) with N- = h ((l+1-m) (l + m)]± .
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Quantum Theory spherical harmonics
Second picture is expression for lowering operator
Transcribed Image Text:L¯ = ħ exp (-io)
+i cot 0
![V
sin? 0 exp (2io), use the lowering op-
Q7:3 Given the spherical harmonic Y22 (0, 6) =
erator, L-, to determine Y21 (0, ø).
%3D
[You may use the erpression in 7.2 for L- and that L-Ytm (0, ø) = N-Ytm-1 (0, ø) with
N¯ = ħ ((l+1–m) (l + m)] .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff258f736-2efe-4abc-a546-b1bd73d984a7%2F641331e2-a3b2-45b4-8a9a-8fe336abb400%2F57z6kf8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:V
sin? 0 exp (2io), use the lowering op-
Q7:3 Given the spherical harmonic Y22 (0, 6) =
erator, L-, to determine Y21 (0, ø).
%3D
[You may use the erpression in 7.2 for L- and that L-Ytm (0, ø) = N-Ytm-1 (0, ø) with
N¯ = ħ ((l+1–m) (l + m)] .
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