Solved Verify the following properties of commutators where | Chegg.com
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![Solved 2. Commutator of two operator is defined as, [A, B] = | Chegg.com](https://media.cheggcdn.com/media/1f7/1f79d82a-dbf6-4d72-b910-cfc0c7260ff9/phpODDTIS "Solved 2. Commutator of two operator is defined as, [A, B] = | Chegg.com")
Solved 2. Commutator of two operator is defined as, [A, B] = | Chegg.com
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![SOLVED: (b) Show that LL=0 Hint: The following commutator identities are helpful: [B,A]=-[A,B] [A,A]=0 [A,B+C]=[A,B]+[A,C] [A+B,C]=[A,C]+[B,C] [A,BC]=[A,B]C+B[A,C] [AB,C]=[A,C]B+A[B,C] [AB,CD]=[A,C]BD+A[B,C]D+C[A,D]B+AC[B,D]](https://cdn.numerade.com/ask_images/08590acd058a4573a39efba56c340cc5.jpg "SOLVED: (b) Show that LL=0 Hint: The following commutator identities are helpful: [B,A]=-[A,B] [A,A]=0 [A,B+C]=[A,B]+[A,C] [A+B,C]=[A,C]+[B,C] [A,BC]=[A,B]C+B[A,C] [AB,C]=[A,C]B+A[B,C] [AB,CD]=[A,C]BD+A[B,C]D+C[A,D]B+AC[B,D]")
SOLVED: (b) Show that LL=0 Hint: The following commutator identities are helpful: [B,A]=-[A,B] [A,A]=0 [A,B+C]=[A,B]+[A,C] [A+B,C]=[A,C]+[B,C] [A,BC]=[A,B]C+B[A,C] [AB,C]=[A,C]B+A[B,C] [AB,CD]=[A,C]BD+A[B,C]D+C[A,D]B+AC[B,D]
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![Solved A commutator, [A, B], of two operators A and B is | Chegg.com](https://d2vlcm61l7u1fs.cloudfront.net/media%2Fcfe%2Fcfeb3bb2-01d4-46a2-9ab8-323606a6dd75%2FphpSjQ5xh.png "Solved A commutator, [A, B], of two operators A and B is | Chegg.com")
Solved A commutator, [A, B], of two operators A and B is | Chegg.com
![Solved] Verify the commutator identities (5.1)-(5 | SolutionInn](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/image/images12/959-P-M-A-M(500).png "Solved] Verify the commutator identities (5.1)-(5 | SolutionInn")
Solved] Verify the commutator identities (5.1)-(5 | SolutionInn
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