In spherical coordinates, the ladder operators for orbital angular momentum are of the form: i. - * * L4 eig +i cot 0- +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations [L°, L4] = 0. [L4, L_] = 2L,.

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In spherical coordinates, the ladder operators for orbital angular momentum are of the
form:
i. - * *
L4
eig
+i cot 0-
+i cot 0-
Show, by explicit calculation of the relevant products, that these operators satisfy the
commutation relations
[L°, L4] = 0.
[L4, L_] = 2L,.
Transcribed Image Text:In spherical coordinates, the ladder operators for orbital angular momentum are of the form: i. - * * L4 eig +i cot 0- +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations [L°, L4] = 0. [L4, L_] = 2L,.
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