Exercise 52 gives the Boltzmann distribution for the special case of simple harmonic oscil...

Exercise 52 gives the Boltzmann distribution for the special case of simple harmonic oscillators, expressed in terms of the constant ξ = Nω0/(2s + 1). Exercise 53 gives the Bose-Einstein and Fermi-Dirac distributions in that case. Consider a temperature low enough that we might expect multiple particles to crowd into lower energy states: kBT = ξ. How many oscillators would be expected in a state of the lowest energy, E — 07 Consider all three—classically distinguishable, boson, and fermion oscillators—and comment on the differences.