Show that the spatial field operators (r) and (r) defined in (4.5.1) have commutation relations

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Show that the spatial field operators ψ(r) and ψ^†(r) defined in (4.5.1) have commutation relations similar to those of the momentum state operators, that is,

You will need the identity

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Solid State Physics Essential Concepts

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Authors: David W. Snoke

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Question Posted: Aug 23, 2023 03:33 AM

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Show that the spatial field operators (r) and (r) defined in (4.5.1) have commutation relations

Question:

[(r), ¹ (r)] = 8(r — r'). (4.5.7)

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By definition r k eikr L ak and ut k eikr I 4...View the full answer

Solid State Physics Essential Concepts

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