Convergence of the Wick star product
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Publication:2472460
DOI10.1007/s00220-007-0190-xzbMath1203.53089arXivmath/0506605OpenAlexW1979146906MaRDI QIDQ2472460
Hartmann Römer, Svea Beiser, Stefan Waldmann
Publication date: 22 February 2008
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0506605
Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Quantizations, deformations for selfadjoint operator algebras (46L65)
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Mean field derivation of DNLS from the Bose-Hubbard model ⋮ Complete positivity of Rieffel's deformation quantization by actions of \(\mathbb R^d\) ⋮ A nuclear Weyl algebra ⋮ Algebras with convergent star products and their representations in Hilbert spaces ⋮ Recent Developments in Deformation Quantization ⋮ Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ A convergent star product on the Poincaré disc ⋮ Group actions in deformation quantization ⋮ Strict quantization of coadjoint orbits ⋮ Comparison and continuity of Wick-type star products on certain coadjoint orbits ⋮ Moyal multiplier algebras of the test function spaces of type S ⋮ Star products on symplectic vector spaces: convergence, representations, and extensions
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