Interband Magneto-Optical Transitions in Semiconductors

Abstract

The optical spectrum of a hydrogen-like exciton in a static uniform magnetic field is studied theoretically on the basis of the adiabatic approximation as a sequel of our series of study. The emphasis of this paper is put on the isotropic excitons rather than anisotropic ones. In §1 and §2 the formulations are given for the hydrogen-like excitons in the magnetic field and the adiabatic approximation, respectively. The results of the calculation are given for the adiabatic potentials, energy levels and optical absorption intensities for m=0 and |m|=1 states for some lower values of n. A way of overcoming the adiabatic approximation will be suggested on the basis of Born’s method. It may, however, be difficult to carry out the calculation and the problem is left untouched. Direct comparison with experiment will not be tried in this paper. A qualitative comparison was attempted in another paper.