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Consider a system of N identical but distinguishable particles, each of which has two energy
levels with energy 0 and > 0. The upper energy level has a g-fold degeneracy while the lower
level is non-degenerate. The total energy of the system is E. Using the microcanonical ensemble,
calculate the entropy and find the occupation numbers n+ and n0 in terms of the temperature of
the system. (n+ corresponds to the upper level, n0 to the lower one). Again use Stirling
approximation. (Hint: E = n+)

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Consider a system of N identical but distinguishable particles, each.pdf

  • 1. Consider a system of N identical but distinguishable particles, each of which has two energy levels with energy 0 and > 0. The upper energy level has a g-fold degeneracy while the lower level is non-degenerate. The total energy of the system is E. Using the microcanonical ensemble, calculate the entropy and find the occupation numbers n+ and n0 in terms of the temperature of the system. (n+ corresponds to the upper level, n0 to the lower one). Again use Stirling approximation. (Hint: E = n+)