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please help with this a) Find the dynamic form factor for a noninteracting Fermi gas in d = 1. b) In the (g?) plane= sketch

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please help with this

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a) Find the dynamic form factor for a noninteracting Fermi gas in d = 1. b) In the (g?) plane= sketch the nonzero support of 33w}. (c) Calculate SW6; w] for a noninteracting Fermi gas '11] d = 3. Compare the result to the results in parts a.) and b)

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