What is a microcanonical statistical ensemble? What is the principle of equal a

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What is a microcanonical statistical ensemble? What is the principle of equal a priori probabilities? Consider a set of atoms in a system. Under what circumstances might the? atoms be distinguishable and when might they be indistinguishable? Why does this matter in statistical thermodynamics? A system consists of N identical atoms, each one trapped in its own spatially separated harmonic potential. Neglecting zero point energy, the oscillatory energy of each atom is an integer number (including zero) of quanta of energy h Omega, where Omega is the common classical angular frequency of oscillation. Show that the microstate multiplicity, when the total energy of the system is E = Qh Omega, is given by Now consider N atoms placed in a single harmonic potential. If N = 2 and Q = 4, identify the available microstates, and determine the factor by which the multiplicity given in part (d) has to be corrected.

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