d) If [F,G] = 0=[F*,G™] = 0, where m,n integers > 0 e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0
d) If [F,G] = 0=[F*,G™] = 0, where m,n integers > 0 e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0
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![Prove the following switching relationships:
(d) If [F,G] = 0= [F",Gm] =
(e) If [F,H] = 0 & [G,H] = 0 =[FG,H] = 0
0, where m, n integers > 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3134545-c2d5-4f24-81a8-8d29a4850429%2F23caa667-4807-429c-b2eb-243803557af9%2Fz1rlkqr_processed.png&w=3840&q=75)
Transcribed Image Text:Prove the following switching relationships:
(d) If [F,G] = 0= [F",Gm] =
(e) If [F,H] = 0 & [G,H] = 0 =[FG,H] = 0
0, where m, n integers > 0
Expert Solution

Step 1
we can use the properties of commutator brackets.
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