Differential Geometry on SU(3) with Applications to Three State Systems
Byrd, Mark
arXiv, 9807032 / Harvested from arXiv
Text on arXiv
The left and right invariant vector fields are calculated in an ``Euler angle'' type parameterization for the group manifold of SU(3), referred to here as Euler coordinates. The corresponding left and right invariant one-forms are then calculated. This enables the calculation of the invariant volume element or Haar measure. These are then used to describe the density matrix of a pure state and geometric phases for three state systems.
Publié le : 1998-07-27
Classification:  Mathematical Physics,  Quantum Physics 
@article{9807032,
     author = {Byrd, Mark},
     title = {Differential Geometry on SU(3) with Applications to Three State Systems},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807032}
}

Byrd, Mark. Differential Geometry on SU(3) with Applications to Three State Systems. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807032/