For a system obeying Boltzmann statistics. Suppose, though, that you knew the distribution function but didn't know μ. You could still determine fL by requiring that the total number of particles, summed over all single-particle states, equal N. Carry out this calculation, to rederive the formula μ = -kTln(Z1/N). (This is normally how μ is determined in quantum statistics, although the math is usually more difficult.)

For a system obeying Boltzmann statistics. Suppose, though, that you knew the distribution function but didn't know μ. You could still determine fL by requiring that the total number of particles, summed over all single-particle states, equal N. Carry out this calculation, to rederive the formula μ = -kTln(Z1/N). (This is normally how μ is determined in quantum statistics, although the math is usually more difficult.)