A class of vector coherent states defined over matrix domains
Kengatharam, T. ; Ali, S. Twareque
arXiv, 0305036 / Harvested from arXiv
Text on arXiv
A general scheme is proposed for constructing vector coherent states, in analogy with the well-known canonical coherent states, and their deformed versions, when these latter are expressed as infinite series in powers of a complex variable $z$. In the present scheme, the variable $z$ is replaced by a matrix valued function over appropriate domains. As particular examples, we analyze the quaternionic extensions of the the canonical coherent states and the Gilmore-Perelomov and Barut-Girardello coherent states arising from representations of SU(1,1).
Publié le : 2003-05-17
Classification:  Mathematical Physics,  81-xx 
@article{0305036,
     author = {Kengatharam, T. and Ali, S. Twareque},
     title = {A class of vector coherent states defined over matrix domains},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305036}
}

Kengatharam, T.; Ali, S. Twareque. A class of vector coherent states defined over matrix domains. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305036/