Question: Prove the commutation relations (11.6.16), assuming that the wave function n (k(vector)) is normalized and symmetric, that is n (k(vector)) = n
Prove the commutation relations (11.6.16), assuming that the wave function ϕn(k(vector)) is normalized and symmetric, that is ϕn(−k(vector)) = ϕn(k(vector)).![[CKn, CK.n] =0 [ckckn] - - [Ckck] = $kk - n (K](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1692/3/4/4/38464df2040b24db1692344384074.jpg)
[CKn, CK.n] =0 [ckckn] - - [Ckck] = $kk - n (K K)n(K k)bk_k k-k = K'n k = - - *(k K)on(k K')b* k b t,k'-k tk-k (11.6.16)
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We start with the definitions of the c operators ie K1 Kk b bt 4Kktk k CR K K b H R K K where we hav... View full answer
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