✦ LIBER ✦
A tensor representation of the real spherical functions for the continuous group O in cartesian coordinates: Example of eulerian rotations
✍ Scribed by Yves Boudeville; Jeanne Rousseau-Violet
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 286 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
The aim of this article is to give a practical way for the use of real spherical functions in another frame than the frame in which they have been defined. For instance, we calculate physical properties from a local frame and use them in the general frame, deduced one from the other by Eulerian rotations on the coordinates. The power of the method is in the use of cartesian coordinates and in the definition of a scalar product between these functions to set up the complete vectorial space generated by these representations of the group O.