Prove the relations (4.8.11) using the known commutation relation [a, a ] = 1 for bosons

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Prove the relations (4.8.11) using the known commutation relation [a, a^†] = 1 for bosons and the anticommutation relation {a, a^†} = 1 for fermions.

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Solid State Physics Essential Concepts

ISBN: 9781107191983

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Authors: David W. Snoke

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Question Posted: Aug 23, 2023 03:33 AM

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Prove the relations (4.8.11) using the known commutation relation [a, a ] = 1 for bosons

Question:

[Ñk, ak] = -akk,k' [Nk, at] =a8kk, (4.8.11)

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First we prove the statement for bosons By definition N communation relation can be expanded as ...View the full answer

Solid State Physics Essential Concepts

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