Authors: Valeri LIGATCHEV
The ‘Generalized Skettrup Model’ (GSM)  links features of near-band gap and intra-gap electronic as well as corresponding optical spectra of polycrystalline and spatially non-homogeneous amorphous semiconductors and insulators to probabilities of fluctuations in an energy of the individual quasi-particle, number of quasi-particles in a quantum grand canonical ensemble (QGCE) of confined acoustic phonons with static plane-wave basis (pure states), and in their aggregate energy. Features of the GSM  are discussed herein in comparison to those of quantum statistics pioneered by famous Japanese physicist T. Matsubara , which is based essentially on two-points ‘Green Function’ (GF) formalism, and takes into account fluctuations in temperature of QGCE. The GSM  might be ultimately treated as a ‘conservative’ (and essentially static) counterpart of the generic Matsubara statistics for the specific case of ensemble of acoustic phonons confined within micrometer- and sub-micrometer-sized non-homogeneities (crystallites) of poly-crystalline and spatially non-homogeneous amorphous semiconductors and insulators. However, unambiguous links among spectral characteristics of the GSM and Matsubara GF might be established for equilibrated phononic ensembles with static and/or dynamic plane-wave basis. Moreover, original scope of the GSM might be expanded further based on the fundamental ideas, pioneered by T. Matsubara.
Comments: 13 Pages. This article contains comments on the book 'Polycrystalline and Spatially Non-Homogeneous Amorphous Semiconductors and Insulators' by Valeri Ligatchev, published by Nova Science Publishers, Inc., in the second quarter of the year 2017
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