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Vector coherent states with matrices

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Vector coherent states with matrices

Thirulogasanthar, Kengatharam (2003) Vector coherent states with matrices. PhD thesis, Concordia University.

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Abstract

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
Date:2003
Thesis Supervisor(s):Ali, S. Twareque
ID Code:2222
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:26
Last Modified:08 Dec 2010 10:25
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