First off, this is not a homework problem. I was reading Charles Kittel solid states book on Chapter 2, equation 3:(adsbygoogle = window.adsbygoogle || []).push({});

electron number density, n(x), expanded in a Fourier series:

[tex] n(x) = n_0 + \sum_{p} [C_p cos(\frac{2\pi p x}{a}) + S_p sin(\frac{2\pi p x}{a})] [/tex]

From this expansion, wouldn't the density n(x = 0) be infinity ? since [tex]C_p[/tex] shouldn't be zero for the Fourier expansion to make sense.

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# Reciprocal lattice and Fourier series

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