A class of vector coherent states defined over matrix domains

DOI10.1063/1.1617366zbMath1062.81090arXivmath-ph/0305036OpenAlexW2024894568MaRDI QIDQ4833165

K. Thirulogasanthar, Syed Twareque Ali

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0305036

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Coherent states (81R30) Analysis on other specific Lie groups (43A80)

Related Items (13)

Coherent states and Hermite polynomials on quaternionic Hilbert spaces ⋮ Vector coherent states on Clifford algebras ⋮ Coherent states in magnetized anisotropic 2D Dirac materials ⋮ Reproducing kernels and coherent states on Julia sets ⋮ Ladder operators with no vacuum, their coherent states, and an application to graphene ⋮ Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry ⋮ Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states ⋮ Multi-matrix vector coherent states ⋮ Quaternionic vector coherent states and the supersymmetric harmonic oscillator ⋮ Phase operators, phase states and vector phase states for SU3 and SU2, 1 ⋮ Schatten class and Berezin transform of quaternionic linear operators ⋮ Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians ⋮ Density operator formulation for a supersymmetric harmonic oscillator: vector coherent state construction and statistical properties

Cites Work

• Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials
• Quantum algebras and \(q\)-special functions related to coherent states maps of the disc
• New 'coherent' states associated with non-compact groups
• Integrable multi-boson systems and orthogonal polynomials
• Temporally stable coherent states for infinite well and Pöschl–Teller potentials
• Vector-coherent-state theory as a theory of induced representations
• Orthogonal polynomials and generalized oscillator algebras
• Vector coherent state representations, induced representations and geometric quantization: I. Scalar coherent state representations
• Vector coherent state representations, induced representations and geometric quantization: II. Vector coherent state representations

This page was built for publication: A class of vector coherent states defined over matrix domains