In spherical coordinates, the ladder operators for orbital angular momentum are of the form: +i cot 0- (- +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations а. [L,, L4] = ±L4 b. [L?, L+] = 0. С. [L4, L-] = 2L..
In spherical coordinates, the ladder operators for orbital angular momentum are of the form: +i cot 0- (- +i cot 0- Show, by explicit calculation of the relevant products, that these operators satisfy the commutation relations а. [L,, L4] = ±L4 b. [L?, L+] = 0. С. [L4, L-] = 2L..
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![In spherical coordinates, the ladder operators for
orbital angular momentum are of the form:
eiø
+i cot 0
+i cot 0-
Show, by explicit calculation of the relevant
products, that these operators satisfy the
commutation relations
a. [L., L4] = ±L
b. [L?, L+] = 0.
[L+, L_] = 2L;.
а.
+
С.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdddd2283-0583-4893-a608-c540fd19aa86%2F8c79de67-8e37-4bae-a663-8427ca722dc0%2F0g336by_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In spherical coordinates, the ladder operators for
orbital angular momentum are of the form:
eiø
+i cot 0
+i cot 0-
Show, by explicit calculation of the relevant
products, that these operators satisfy the
commutation relations
a. [L., L4] = ±L
b. [L?, L+] = 0.
[L+, L_] = 2L;.
а.
+
С.
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