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background permittivity
editA lot of the formulas are missing the background permittivity, which should go in the denominator of the equation for k_0^2. --Nanite (talk) 11:14, 18 November 2016 (UTC)
- Looks like I largely wrote this out 4 years ago. I don't remember the details, but I said that I followed Ashcroft & Mermin.
- It's entirely possible that Ashcroft & Mermin were (implicitly or explicitly) assuming background permittivity is 1 (i.e. that the electrons in question are the only source of charge, as opposed to slightly-mobile ions and core electrons counting separately).
- Looking at the derivations, I am inclined to agree with you that something is wrong. In
- this is the formula for induced free charge. But then the way it's turned into a dielectric function seems to treat it as a total charge (I guess. I haven't gone through it).
Thomas?
editWho is Thomas? Found it Llewellyn Thomas --MaoGo (talk) 23:01, 7 August 2018 (UTC)