Gruppentheoretische Behandlung der Aufspaltung von Kristalltermen vermöge der Wechselwirkung äquivalenter Gitterteilchen

Abstract

First an analysis of the Hamiltonians related toBethe's crystal levels and to the energy levels of the whole crystal is given. Then the splitting ofBethe's levels by the interaction between the electrons of equivalent lattice particles is described in the group ring (factor group splitting,Davydov splitting). By thisWinston's rule derived for this splitting is deduced from a new group theoretical point of view. FinallyBethe's levels degenerated according to time reversal symmetry are considered and spin is regarded.