Two-state system. Section 5.3 provided an example of a two-state system. To simplify the analysis even further, specify that the system’s two energy eigenstates have energies 0 and ε_0, where ε_0 denotes a small positive energy. Calculate and sketch (as functions of temperature) the following quantities:
(a) partition function,
(b) energy estimate ,
(c) heat capacity,
(d) entropy.