Thirulogasanthar, Kengatharam (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.
|Divisions:||Concordia University > Faculty of Arts and Science > Mathematics and Statistics|
|Item Type:||Thesis (PhD)|
|Pagination:||viii, 133 leaves ; 29 cm.|
|Degree Name:||Theses (Ph.D.)|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Ali, S. Twareque|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 17:26|
|Last Modified:||08 Dec 2010 15:25|
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