Suggestions for Sommerfeld Model exercises
File in which the problem appears
https://solidstate.quantumtinkerer.tudelft.nl/4_sommerfeld_model/ (Is this a file? It is the web page. I could not find the file generating the page.)
Problematic sentence
i) Exercise 2 parts 2, 3 and 4 are confusing as it is not made explicit that one should not yet include the spin degeneracy. ii) Exercise 3 has a DOS "per unit volume", where a dimensions analysis shows that it is not a DOS per unit volume (or perhaps a 0-dimensional volume).
Correct version
i) It might be wise to immediately add the factor of 2 in the density of states expression, as to be consistent with the book and lecture choice to incorporate this degeneracy from the start. ii) Either add the units of per volume or leave out the notion that it is a DOS "per unit volume", the latter probably making the exercise a bit more to the point.