A Note on Biquaternionic MIT Bag Model
The term ”bag model” unifies several attempts to construct a mathematical description of the phenomenon of quark confinement. Such models are often used for estimating different characteristics of a hadron. The aim of this note is to add one more characterization to the list of known characterizations of Dirac equation (see, e.g., [8], [10]). In the article, we study the Dirichlet type boundary value problems and MIT bag model in three-dimensional piece-wise Liapunov domains. Mathematical Subject Classification: Primary 81V05, 78A25; Secondary 30G35
We present an electronic structure calculation of the valence band for some II--VI binary/ternary alloy interfaces. We use the empirical tight-binding method and the surface Green's function matching method. For the ternary alloys we use our previously set Hamiltonians they describe well the band gap change with composition obtained experimentally. At the interface domain, we find three non-dispersive and two interface states besides the known bulk bands. The non-dispersive states are reminiscent of the ones already obtained experimentally as well as theoretically, in (001)-oriented surfaces. We make use of the available theoretical calculations for the (001)-oriented surfaces of the binary compounds and for the binary/binary interfaces to compare our new results with.