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 (k(vector)) 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)...

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 ...

Prove the commutation relations (11.6.16), assuming that the wave function n (k(vector)) is normalized and symmetric,

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Prove the commutation relations (11.6.16), assuming that the wave function ϕ_n(k(vector)) is normalized and symmetric, that is ϕ_n(−k(vector)) = ϕ_n(k(vector)).

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Solid State Physics Essential Concepts

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Prove the commutation relations (11.6.16), assuming that the wave function n (k(vector)) is normalized and symmetric,

Question:

[CKn, CK¹.n] =0 [ckckn] - - [Ckck] = $kk - Σøn (⁄K – K)øn(½K¹ − k)b¹¸k¹_k² ↓‚k-k = — K'n k = - - Σø*(k − ¹K)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 the full answer

Solid State Physics Essential Concepts

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[CKn, CK¹.n] =0 [ckckn] - - [Ckck] = $kk - Σøn (⁄K – K)øn(½K¹ − k)b¹¸k¹_k² ↓‚k-k = — K'n k = - - Σø(k − ¹K)on(k − ⁄K')b k b t,k'-k tk-k (11.6.16)