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Application of the Band Representations of Space Groups in the Theory of Electronic States of Crystalline Solids. I. General Consideration of the Band Representations

✍ Scribed by R. A. Evarestov; V. P. Smirnov

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
571 KB
Volume
122
Category
Article
ISSN
0370-1972

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✦ Synopsis

Abstract

Band representations are considered in the framework of the ordinary representation theory of space groups. The band representation characterizes the symmetry of all the electronic states of an energy band. Any band representation coincides with a so‐called simple band representation or is a direct sum of the latter. The whole number of simple band representations is finite for any space group. The type of a band representation determines the symmetry of the localized functions related with a given energy band.

πŸ“œ SIMILAR VOLUMES

Spectral integral for the representation
Spectral integral for the representation of the space-time translation group in relativistic quantum theory
✍ Armin Uhlmann πŸ“‚ Article πŸ“… 1961 πŸ› Elsevier Science 🌐 English βš– 458 KB

The structure of the representation of the space-time translation group in relativistic quantum theory is examined by means of an operator spectral integral. There is one and only one operator-valued function on the complex forward cone which is an analytic continuation of that representation.