## Implications of the Euclidean Normalizers of Space Groups in Reciprocal Space Each crystal structure with symmetry G exactly corresponds to i different but equivalent coordinate descriptions of the atomic arrangement and to i different but equivalent structure-factor lists. The number i equals
Some applications of the representation theory of the Euclidean group in three-space
โ Scribed by Willard Miller Jr.
- Publisher
- John Wiley and Sons
- Year
- 1964
- Tongue
- English
- Weight
- 568 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
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.
Bounded an unbounded Hilbert space V -Representations of the q-deformed Lie algebra of the group of plan motions are studied for different choices of involutions. Integrable (``well-behaved'') representations of the corresponding V -algebras are defined and described up to unitary equivalence. In th