Application of Glauber States to the Vibronic Spectrum of Magnetic Impurities in Crystals

Glauber states are suitable for describing oscillators displaced from the origin, therefore they are appropriate for dealing with the local vibrations of a multiatomic system after a Jahn-Teller distortion has taken place. The resulting wave functions based on displaced harmonic oscillators are not orthogonal. In the present paper we describe a way for using such functions in the numeric evaluation of properties related to the vibronic spectra of real systems. The presentation is divided into three parts: 1) Review of the main properties of Glauber states; 2) Analytic application of them to the ground states for some general couplings like ≥ ≥T₁, ≥ ≥T₂, and T_2≥T1; 3) The central part of the work corresponds to the numerical application of Glauber states to excited states of the lower multiplet of Fe²⁴ in II-VI zinc-blende compounds (CdTe,ZnS), explaining the corresponding infrared absorption spectra. The discussion will cover the following points : handling of the symmetry properties of the system; formation of algorithms for the computer calculations based on Glauber states; comparison with experimental spectra; comparison with other numerical methods. In the concluding remarks, the advantages and disadvantages of this method based on Glauber states will be outlined.