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2. For a system of non-interacting, one-dimensional, distinguishable classical particles in a harmonic oscillator potential, V =...

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Physics

2. For a system of non-interacting, one-dimensional,distinguishable classical particles in a harmonic oscillatorpotential, V = kx2 in contact with a particlereservoir with chemical potential µ and a thermalreservoir at temperature T.

(a) Calculate the grand partition function Z for the system.Note that there is no fixed \"volume\" for this system.

(b) Obtain N (number of particles) and U as functions of µ and Tand show that U satisfies the equipartition theorem

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