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    Derivation of ln Z for Bose-Einstein case

    1. Problem From Fitzpatrick we need to deriveln(Z)=αN-\sum ln(1-e^{-\alpha-\betaε_{r}}) (Equation 8.45) Homework Equations This is claimed to be derived from Equations 8.20, 8.30, and 8.43 Eq 8.20 \overline{n}_{s}=-\frac{1}{\beta}\frac{\partial ln(Z)}{\partial\epsilon_{s}} Eq 8.30...
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