Vector coherent states with matrices

• Main Author: Thirulogasanthar, Kengatharam
• Format: Others
• Published: 2003
• Online Access: http://spectrum.library.concordia.ca/2222/1/NQ77899.pdf; Thirulogasanthar, Kengatharam <http://spectrum.library.concordia.ca/view/creators/Thirulogasanthar=3AKengatharam=3A=3A.html> (2003) Vector coherent states with matrices. PhD thesis, Concordia University.

In this thesis we develop vector coherent states (VCS) in the form [Special characters omitted.] where [Special characters omitted.] , the n dimensional complex space and [Special characters omitted.] is an n x n matrix. By imposing some conditions on the matrix [Special characters omitted.] we develop a general procedure to obtain VCS. We develop VCS on the complex plane and on the unit disc by replacing the matrix [Special characters omitted.] by quaternions. We also build VCS with several other classes of matrices. Further, we develop VCS on general Clifford algebras. At last, we build VCS with a class of symmetric matrices with an unbounded frame operator.