Consider a 2-level system with an energy splitting between the upper and lower level. Using Boltzmann statistics, show that the heat capacity of the 2-level system equals: (see attachment for equation)
What happens in the limit of (see attachment for equation)
Before you look at the solutions, you can try to solve the problem the following way:
<br>Set one energy level to zero, so the other is kD.
<br>Now use the Boltzmann statistics to find what is the probability of ...
The solution shows how to find the system's partition function and how to obtain the desired parameter.