In this Lecture, we calculate the second-order correction to the electron energyEnergyelectron energy and determine the correlation energy for the interaction of electrons with opposite spins. We analyze the inhomogeneous part of electron–ion interactionInteractionelectron–ion interaction and discuss the self-consistent approximation for the dielectric functionDielectric functionFunctiondielectric function in metal. We derive an expression for the polarization operator in the static case defined by the Lindhard functionLindhardLindhard function.

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Lecture 17. Correlation Energy for the Interaction of Electrons with Opposite Spins

  • Maxim Kagan

摘要

In this Lecture, we calculate the second-order correction to the electron energyEnergyelectron energy and determine the correlation energy for the interaction of electrons with opposite spins. We analyze the inhomogeneous part of electron–ion interactionInteractionelectron–ion interaction and discuss the self-consistent approximation for the dielectric functionDielectric functionFunctiondielectric function in metal. We derive an expression for the polarization operator in the static case defined by the Lindhard functionLindhardLindhard function.