Hi, I have a question about statistical mechanics. How do you calculate the density of states for phonons and electrons in a d-dimensional system (at fixed chemical potential) and when the dispersion relation for the electrons is [tex] E(p)=A |p|^g[/tex] and for the phonons is [tex] w=v|p|[/tex] To get the specific heat one takes the temperature derivative of the energy, correct? How does all this change if you consider constant number of electrons rather than constant chemical potential? I guess thats really the heart of my misunderstanding, how does the density of states and specific heat change when you consider constant electron number rather than constant chem. potential?? Thanks so much for any insights.