Angular Momentum Theory and Localized States in Solids. Investigation of Shallow Acceptor States in Semiconductors

We show that localized states in solids can be conveniently investigated using techniques which are widely applied in the theory of atomic and nuclear spectra. The effective-mass theory for shallow acceptor states is formulated in a simple way and a meaningful classification of these states is obtained. The eigenvalue problem is reduced to simple radial Hamiltonians which are solved for the most important acceptor states.