✦ LIBER ✦

Unique Euler angles and self-consistent multiplication tables for double point groups

✍ Scribed by Peng-Dong Fan; Jin-Quan Chen; Luke Mcaven; Philip Butler

Book ID: 101255836
Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 209 KB
Volume: 75
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1999)75:1<1::aid-qua1>3.0.co;2-v

No coin nor oath required. For personal study only.

✦ Synopsis

The standard Euler angle parameterization of rotations is not unique. This is a particular problem when considering spinor representations. We enlarge the domain of the Euler angles from an SO covering to an SU covering, 0 F ␣ -2 , 0 F

With this modification we can find unique Euler angles for operations of the double groups and thus construct self-consistent group tables for those groups.

Factor systems can then be described for the projective representations.