Homework Set # 7 - Due October 11

1. Problem 4.1

2. Problem 4.4

3. Problem 4.8

4. Problem 5.1

5. Consider a rotor in 2 dimensions with H=-(ћ²/2I)d²/dθ and 0≤θ≤2π.

   a) Find the eigenstates and energy levels of the system.

   b) Write the expression for the density matrix <θ'|ρ|θ> in a canonical ensemble at temperature T.