Consider the ideal Fermi gas of Exercise 4.18 in the high temperature and /or low density regime   (a)   Show that   (b)   Use this result together with the Fermi distribution for {n p } to deduce the...

Consider the ideal Fermi gas of Exercise 4.18 in the
high temperature and /or low density regime

(a)   Show that

(b)   Use this result together with the Fermi distribution for {np} to deduce the Maxwell-Boltzmann distribution

Where p stands for momentum and

(c)   Show that the thermal wavelength,
can be viewed as an average De Broglie wavelength since

(d)   Show that

Why does a finite value of
lead to deviations from the classical ideal gas law? Why should you expect the quan-tum deviations to vanish when