Problem 1: Two-level system. Canonical ensemble.Consider N impurity atoms trapped in a solid matrix.Each impurity can be in one of two states, with energies 0 and ɛ, respectively.The energy level are non-degenerate.1) Compute the partition function Z, for one subsystem (i.e. one impurity atom).2) Compute the partition function Z for the system.3) Deduce the free energy.4) Deduce the entropy.5) Deduce the internal energy.Problem 2: Two-level system. Canonical ensemble.Redo the above problem. We assume that the ground level is non degenerateand the excited level is g-fold degenerate.

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Answered: Problem 1: Two-level system. Canonical…

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