Method of Moments for Optical Absorption Bands of Impurities in Solids

概要

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An attempt to reformulate and extend the method given by HSS (C. H. Henry, S. E. Schnattely, and C. P. Slichter: Phys. Rev. 137 (1965) A583) is made. The unperturbed electronic Hamiltonian Ho responsible for the absorption lines is chosen only under the condition that its solution has many degenerate levels. Using the perturbation theory, the moments are calculated up to the third order in the perturbing Hamiltonian H_1, in contrast to the first order in the HSS's theory. Since the spin-orbit interaction H_<SO> may be contained in H_0 or H_1 the obtained formulae of moments are applicable to many kinds of systems, although the HSS's treatment is restricted to the systems in which H_<SO> is regarded as the perturbation. The results are applied to the absorption bands of the alkali halide phosphors containing heavy-metal ions with (s)^2 configuration, and the method to determine the values of energy parameters for these ions is discussed.
社団法人日本物理学会の論文
1968-05-05