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Question: answer part a...

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answer part a)

We impose periodic boundary conditions2 forcing eikjaeikG+N)a The wave vector k therefore takes the values 2mm/Na, where m is an integer in the range -N/2 < m S N/2. Note that (2.50)

N-2. , w where b) The Netikja terns form a cornplex fourier series for J = 1, N and k we assume N is even. Using part a) prove the the orthogonal relation Nm where m = erp(ikja))elik ja) e) Prove the related completeness relation

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