In spherical coordinates, the ladder operators for orbital angular momentum are of the form: eiø +i cot 0. %3D = e ip +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations 1. [L, L4] = +L4 %3D 2. [L?, L4] = 0. 3. [L4, L] = 20..
In spherical coordinates, the ladder operators for orbital angular momentum are of the form: eiø +i cot 0. %3D = e ip +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations 1. [L, L4] = +L4 %3D 2. [L?, L4] = 0. 3. [L4, L] = 20..
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![In spherical coordinates, the ladder operators for orbital angular momentum are of the
form:
eio
+i cot 0.
= e io
+i cot 0-
Show, by explicit calculation of the relevant products, that these operators satisfy the
commutation relations
1. [L., L4] = +L4
%3D
2. [L?, L+] = 0.
%3D
3. [L4, L] = 20..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776abc4f-cfd9-408d-886d-6f315054ca57%2Fa0956776-a8ed-4b5c-aea5-f9a7c20f4a2c%2Fk0h4e28_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In spherical coordinates, the ladder operators for orbital angular momentum are of the
form:
eio
+i cot 0.
= e io
+i cot 0-
Show, by explicit calculation of the relevant products, that these operators satisfy the
commutation relations
1. [L., L4] = +L4
%3D
2. [L?, L+] = 0.
%3D
3. [L4, L] = 20..
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