Consider N massless non-interacting spin-s fermions in a
three-dimensional box of volume V .
(a) Find the Fermi energy EF as a function of N, V , and
s.
(b) For zero temperature, find the pressure in terms of N, V , and
EF .
(c) Plot the occupation of states as a function of the energy at a
temperature of T =EF /(10k). Your graph can be a sketch
by hand. However, the effect of the finite temperature should...