scientific article
From MaRDI portal
Publication:3147690
zbMath1014.53054arXivmath/0201168MaRDI QIDQ3147690
Daniel Sternheimer, Giuseppe Dito
Publication date: 3 December 2002
Full work available at URL: https://arxiv.org/abs/math/0201168
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items
Least uncertainty principle in deformation quantization, Stochastic Moyal product on the Wiener space, The \(H\)-covariant strong Picard groupoid, Infinitesimal deformation quantization of complex analytic spaces, The eigenvalue equation for a 1-D Hamilton function in deformation quantization, Quantum trajectories, Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure, Noncommutative \( {{\mathbb{R}}}^d \) via closed star product, Nonassociative Weyl star products, Constrained systems, generalized Hamilton-Jacobi actions, and quantization, Formal deformations of Dirac structures, The problem of the classical limit of quantum mechanics and the role of self-induced decoherence, Unnamed Item, Unnamed Item, On deformation of associative algebras and graph homology., Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results, Weyl invariant polynomial and deformation quantization on Kähler manifolds, Noncommutativity in effective loop quantum cosmology, Cohomology of \(\mathrm{V ect}(\mathbb{R})\) acting on the space of bilinear differential operators, The Weyl‐Wigner‐Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin, On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization, Morita equivalence bimodules for Wick type star products., Quantization via deformation of prequantization, Rarita-Schwinger quantum free field via deformation quantization, Graph complexes in deformation quantization, Quantization: Deformation and/or functor?, Supertrace and superquadratic Lie structure on the Weyl algebra, and applications to formal inverse Weyl transform, Dirac’s magnetic monopole and the Kontsevich star product, Bohr-Sommerfeld star products, A minimal framework for non-commutative quantum mechanics, On the classical limit of quantum mechanics, fundamental graininess and chaos: compatibility of chaos with the correspondence principle, Monopole star products are non-alternative, Weyl-Wigner-Moyal formalism for Fermi classical systems, Convergence of the Wick star product, Quantum mechanics with coordinate dependent noncommutativity, Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds, Field theory with coordinate dependent noncommutativity, Flat minimal quantizations of Stäckel systems and quantum separability, Path algebras, wave-particle duality, and quantization of phase space, States in the Hilbert space formulation and in the phase space formulation of quantum mechanics, Deformation quantization of fermi fields, The Picard groupoid in deformation quantization, The damped harmonic oscillator in deformation quantization, Cliffordization, spin, and fermionic star products, COVARIANT STAR PRODUCT ON SYMPLECTIC AND POISSON SPACE–TIME MANIFOLDS, Star products made (somewhat) easier, The classical limit of non-integrable quantum systems, a route to quantum chaos, Involutions and representations for reduced quantum algebras, KS-entropy and logarithmic time scale in quantum mixing systems, Nearly associative deformation quantization, A phase space description of the FLRW quantum cosmology in Hořava-Lifshitz type gravity, Formal series of generalized functions and their application to deformation quantization, A semiclassical condition for chaos based on Pesin theorem, Causal Poisson bracket via deformation quantization, On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems, TWISTED QUANTUM FIELDS ON MOYAL AND WICK–VOROS PLANES ARE INEQUIVALENT, SPACETIME FROM SYMMETRY: THE MOYAL PLANE FROM THE POINCARÉ–HOPF ALGEBRA, A Continuous Bialgebra Structure on a Loop Algebra, Star products on symplectic vector spaces: convergence, representations, and extensions
