Valence Band of Cubic Semiconductors from Viewpoint of Clifford Algebra
A. Dargys
Semiconductor Physics Institute, A. Goštauto 11, LT-01108 Vilnius, Lithuania
Received: March 6, 2009; In final form: April 16, 2009
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In this paper the properties of semiconductors having cubic symmetry are considered in a real multidimensional Euclidean space within the formalism of multivector Clifford algebra rather than, usually used for this purpose, complex Hilbert space. In particular, it is demonstrated how the valence band energy spectrum and spin properties may be calculated within Cl5 Clifford algebra and SO(5) symmetry group related with it.
DOI: 10.12693/APhysPolA.116.226
PACS numbers: 71.15.-m, 72.25.Dc, 75.10.Jm, 85.75.-d