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Vector coherent states with matrices


Vector coherent states with matrices

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)
Authors:Thirulogasanthar, Kengatharam
Pagination:viii, 133 leaves ; 29 cm.
Institution:Concordia University
Degree Name:Theses (Ph.D.)
Program:Mathematics and Statistics
Thesis Supervisor(s):Ali, S. Twareque
ID Code:2222
Deposited By: Concordia University Libraries
Deposited On:27 Aug 2009 17:26
Last Modified:08 Dec 2010 15:25
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