Allgemeine Methoden und Ergebnisse der wellenmechanischen Vielelektronentheorie in Kristallgittern

Abstract

The most general type of a wave function for an electron ensemble in a periodic lattice is developed and discussed in the paper. Approximate solutions may be built up either from Bloch functions or from atomic functions of the single electrons. The relations between these two representations are discussed for a number of cases and possible extensions are outlined. The principles of the energy term structure of electron ensembles in solids may be understood in this way as well as the limitations in the applicability of the approximations used. Some applications of the results to the theory of ferromagnetism and of ionic crystals are discussed. For further progress it seems necessary to develop a theory which takes into account the Coulomb correlation of the electrons in a more satisfactory way.

Mit 5 Abbildungen