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The state of a many body system is characterized by two quantum numbers, n and m....

The state of a many body system is characterized by two quantum numbers, n and m. The possible values of the quantum number n are 0, 1, 2, ∞, while the values of m are in the range 0,1,,n. The energy of the system in the state (n,m) is nω and the number of particles is m. Evaluate the grand partition function for this system.

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