Word Count : 281

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The Fermi-Dirac distribution gives the probability that a state of energy (\epsilon) is occupied by an electron: [ f(\epsilon) = \frac{1}{1 + e^{(\epsilon - \epsilon_F)/kT}} ] where (\epsilon_F) is the Fermi energy, (k) is Boltzmann’s constant, and (T) is the temperature. We are asked to show that the probability that a state with energy (\epsilon = \epsilon_F + \delta\epsilon) is filled is equal to the probability that a state with ________ ______ _________ _____ ___ ______ ________ ______ _________ __________.
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