(20) 4. Calculate the classical canonical partition function and energies of a rigid rotor and an harmonic oscillator. a) H=(P2+P2/sin2)/2R2 for a classical rigid rotor of length R and masses m1 and m2 in spherical polar coordinates. b) H=P2/2+kX2/2 for a classical harmonic oscillator with a force constant k. c) Compare you results to the high temperature limit for the canonical partition functions derived earlier from the quantum mechanical treatment of the two systems. d) What are the average classical energies of each system