Fock spaces for the complex Dunkl operator and deformed \(\mathrm{su}(1,1)\) algebra
DOI10.1007/S10773-020-04518-WzbMath1447.81137OpenAlexW3036629018MaRDI QIDQ2197054
Publication date: 4 September 2020
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-020-04518-w
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Bergman spaces and Fock spaces (30H20)
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line
- Polynomial Lie algebras and associated pseudogroup structures in composite quantum models
- Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12--16, 2002
- Polynomial deformations of the Lie algebra \({\mathfrak {sl}} (2)\) in problems of quantum optics
- The Calogero model---anyonic representation, fermionic extension and supersymmetry
- \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics.
- The special functions and their approximations. Vol. I, II
- On a Hilbert space of analytic functions and an associated integral transform part I
- Generalized Fock Spaces and Associated Operators
- HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
- Harmonic Analysis in Phase Space. (AM-122)
- DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
- The obrechkoff integral transform: properties and relation to a generalized fractional calculus
- Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
This page was built for publication: Fock spaces for the complex Dunkl operator and deformed \(\mathrm{su}(1,1)\) algebra