A convergent star product on the Poincaré disc
From MaRDI portal
Publication:2317985
DOI10.1016/j.jfa.2019.02.011zbMath1422.32027arXiv1803.02763OpenAlexW2789715932MaRDI QIDQ2317985
Daniela Kraus, Matthias Schötz, Stefan Waldmann, Oliver Roth
Publication date: 13 August 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.02763
Representations of topological algebras with involution (46K10) Kähler manifolds (32Q15) Quantizations, deformations for selfadjoint operator algebras (46L65) Negative curvature complex manifolds (32Q05)
Related Items (7)
Wick rotations in deformation quantization ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ Symmetry reduction of states. I ⋮ Strict quantization of polynomial Poisson structures ⋮ Group actions in deformation quantization ⋮ Strict quantization of coadjoint orbits ⋮ Comparison and continuity of Wick-type star products on certain coadjoint orbits
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Analytic vectors
- An explicit *-product on the cotangent bundle of a Lie group
- Deformation theory and quantization. II: Physical applications
- Topological approach to quantum surfaces
- Quantization of Kähler manifolds. III
- A simple geometrical construction of deformation quantization
- Strict quantizations of symplectic manifolds
- Convergent star products for projective limits of Hilbert spaces
- Deformation quantization of Poisson manifolds
- Quantization of Kähler manifolds. IV
- Algebraic index theorem
- Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\)
- A nuclear Weyl algebra
- Fréchet algebraic deformation quantization
- Convergence of the Wick star product
- Classes of \(C^ \infty\) vectors and essential self-adjointness
- On the deformation of rings and algebras
- Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
- Deformation Quantization for Actions of Kählerian Lie Groups
- Deformation quantization for actions of 𝑅^{𝑑}
- Equivalence of star products
- Quantization of Kahler Manifolds. II
- Convergence of the Gutt Star Product
- Subalgebras with converging star products in deformation quantization: An algebraic construction for C P n
This page was built for publication: A convergent star product on the Poincaré disc
