- #1

chikchok

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- Homework Statement
- Compare phonon DOS and DOS of free electrons in 1D and 2D

- Relevant Equations
- D(E)1d=(1/L)dN/dE

D(E)2d=1/A)dN/dE for electrons

In the following pdf I tried to calculate the density of states of free electrons and phonons. First, I found the free electron DOS in 1D, it turns to be proportional to (energy)^(-1/2) and in 2D it is constant. However, I am not sure I found the DOS for phonons in the second part of the solution. Because the homework said to compare two DOS, I thought phonon DOS needs to be in terms of energy D(E) and not frequency w D(w). But I suspect it is wrong. Can phonon density of states be in terms of energy? If so, how to find it? And if not, should I find it trough equation D(w)dw?