Problem 1 (10 points) _
There are two particles in a two level system. The energy levels of the system is E; = e6, 6.
(a) Find the probability, p;- (as a function of temperature) that a particle has e
Problem 2 'Ilw ltllllh'ulll solid picture assumoi that atom 2' of a solid sits at lattice position
rm and can oscillate harmonically around this position. it is described by the Hamiltonian
H p2 1 N 2