On the Electrical Conductivity of Metals

摘要: The exact formula for the electrical conductivity of a metal, derived by Kubo, Greenwood, and others, is evaluated using Van Hove's methods quantum mechanical transport problems. evaluation restricted to case elastic scattering impurities or lattice vibrations, but completely avoids use customary random phase assumption. In limit weak coupling our method yields formulae that are identical with those from Boltzmann equation. accuracy approximation investigated it found be accurate as long h/τ<<η, where τ collision time η Fermi energy. A general treatment in an anisotropic metal given explicit expression written down terms eigenvalues eigenvectors integral rigorous derivation conventional equation results on master