Round 17: Tossup 19

When deriving this model, Taylor expanding the integral of the Hamiltonian times the Fermi function obtains an error term of “one over beta times chemical potential, all to the fourth.” Adding periodicity to this model is used to derive the reduced zone scheme representation of a Brillouin zone. This model is [emphasize] based on one used to erroneously calculate the Wiedermann–Franz law, which involved two misestimations by factors of 100 cancelling out. (-5[2])Applying a weak periodic potential to this model (10[1])produces one used to calculate band structures that “nearly” have a characteristic property. (10[1]-5[2])In this model, charge carriers do not interact and follow the (-5[1])Pauli exclusion principle. (10[1]-5[2])For 10 points, what model that incorporates Fermi–Dirac (-5[1])statistics into a classical model of charge (-5[1])carriers in a metal is sometimes (-5[1])named for two (10[1]-5[1])German physicists? (10[1])■END■ (10[4]0[15])

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