R 3 jxi
ð Þ ¼ je 1 i je 2 i je 3 i
ð
Þ
x 3
x 1
x 2
0
B
@
1
C
A:
ð17:119Þ
Care should be taken on which linear transformation is intended out of the basis
vectors transformation or coordinate transformation.
As mentioned above, we have compared geometric features on the moving
coordinate system and fixed coordinate system. The features apparently seem to
differ at a glance, but are essentially the same.
References
1. Hamermesh M (1989) Group theory and its application to physical problems. Dover, New York
2. Cotton FA (1990) Chemical applications of group theory. Wiley, New York
3. Edmonds AR (1957) Angular momentum in quantum mechanics. Princeton University Press,
Princeton
4. Chen JQ, Ping J, Wang F (2002) Group representation theory for physicists, 2nd edn. World
Scientific, Singapore
5. Arfken GB, Weber HJ, Harris FE (2013) Mathematical methods for physicists, 7th edn. Academic Press, Waltham
678
17 Symmetry Groups
ð Þ ¼ je 1 i je 2 i je 3 i
ð
Þ
x 3
x 1
x 2
0
B
@
1
C
A:
ð17:119Þ
Care should be taken on which linear transformation is intended out of the basis
vectors transformation or coordinate transformation.
As mentioned above, we have compared geometric features on the moving
coordinate system and fixed coordinate system. The features apparently seem to
differ at a glance, but are essentially the same.
References
1. Hamermesh M (1989) Group theory and its application to physical problems. Dover, New York
2. Cotton FA (1990) Chemical applications of group theory. Wiley, New York
3. Edmonds AR (1957) Angular momentum in quantum mechanics. Princeton University Press,
Princeton
4. Chen JQ, Ping J, Wang F (2002) Group representation theory for physicists, 2nd edn. World
Scientific, Singapore
5. Arfken GB, Weber HJ, Harris FE (2013) Mathematical methods for physicists, 7th edn. Academic Press, Waltham
678
17 Symmetry Groups