ON THE ⋆-PRODUCT QUANTIZATION AND THE DUFLO MAP IN THREE DIMENSIONS
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Publication:4912473
DOI10.1142/S0217732312502070zbMath1260.81137arXiv1209.2941OpenAlexW3102618697WikidataQ62512531 ScholiaQ62512531MaRDI QIDQ4912473
Publication date: 4 April 2013
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2941
Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Noncommutative geometry in quantum theory (81R60) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (15)
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Cites Work
- Lectures on Duflo isomorphisms in Lie algebra and complex geometry
- Star products, duality and double Lie algebras
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- Deformation quantization of Poisson manifolds
- Symplectic tomography as classical approach to quantum systems.
- Phase space distributions and a duality symmetry for star products
- Noncommutative differential calculus for Moyal subalgebras
- A GENERALIZATION OF THE JORDAN-SCHWINGER MAP: THE CLASSICAL VERSION AND ITS q DEFORMATION
- On asymptotic expansions of twisted products
- 3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
- Three dimensional quantum geometry and deformed symmetry
- Algebras of distributions suitable for phase-space quantum mechanics. I
- On the Quantum Correction For Thermodynamic Equilibrium
- Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
- A unifying perspective on the Moyal and Voros products and their physical meanings
- Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity
- On the principles of elementary quantum mechanics
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