[QUE/SM-04025] SM-PROBLEM

Consider a particle occupying one of the three levels in a system with energies ( one level) $\epsilon_0$ and two levels $\epsilon_0\,+\,\Delta$. There are N such systems ( non-interacting) and in equilibrium at temperature $T$.

(a)Find the number $N_0$ occupying the ground state and the number $N_1$ occupying the excited states.

(b) Calculate the specific heat of the system.