Vector Coherent States with an Unbounded Inverse Frame Operator

2003/06/25 by K. Thirulogasanthar, Thirulogasanthar, K.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Mathematical Physics (math-ph) #Quantum optics and atomic interactions #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0306062

12 pages

arxiv created 2003/06/25 · openalex publication_date 2003/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a class of vector coherent states in the domain D× D× >....× D (n-copies), where D is the complex unit disc, using a specific class of hermitian matrices. Further, as an example, we build vector coherent states in the unit disc by considering the unit disc as the homogeneous space of the group SU(1,1).

Citations

• Lie Groups, Lie Algebras, and Some of Their Applications

Related

• A class of vector coherent states defined over matrix domains
• Vector Coherent States on Clifford algebras
• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• Deepening the vector coherent state analysis: Revisiting the harmonic oscillator
• Coherent states in complex variables and classical dynamics