Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations a. b. C. [Ĺ₂,Ĺ+] = ±Û± [L²,L+] = 0. [L+, L_] =2Ĺ₂.
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![In spherical coordinates, the ladder operators for
orbital angular momentum are of the form:
Ĺ+
Ĺ
a.
b.
C.
=
eip
[Ĺ₂,Ĺ+] = ±Û±
[L²,L+] = 0.
[Ĺ+, Ĺ_] = 2Ĺ₂.
e
Cae
Ә
(-
+ icot 0.
Ə
20
ə
до
980)
Show, by explicit calculation of the relevant
products, that these operators satisfy the
commutation relations
+icot 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7884b924-5cdd-48a3-9dc8-094cb1f0ef41%2Ffcf37589-0fe6-4323-a41c-aafe5d3ad075%2Fyngr74_processed.png&w=3840&q=75)
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