A GENERALIZATION OF THE JORDAN-SCHWINGER MAP: THE CLASSICAL VERSION AND ITS q DEFORMATION
From MaRDI portal
Publication:2775286
DOI10.1142/S0217751X94002260zbMath0988.17500arXivhep-th/9310053MaRDI QIDQ2775286
Patrizia Vitale, F. Zaccaria, Giuseppe Marmo, Vladimir I. Man'ko
Publication date: 26 February 2002
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9310053
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Related Items
Deforming maps for Lie group covariant creation and annihilation operators, Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom, Classical Hamiltonian systems with sl(2) coalgebra symmetry and their integrable deformations, Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq, Schwinger representation for the symmetric group:Two explicit constructions for the carrier space, Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces, Phase space distributions and a duality symmetry for star products, Star products, duality and double Lie algebras, Remarks on the GNS Representation and the Geometry of Quantum States, ON THE ⋆-PRODUCT QUANTIZATION AND THE DUFLO MAP IN THREE DIMENSIONS, Bihamiltonian quantum systems and Weyl quantization., Noncommutative differential calculus for Moyal subalgebras, Geometrization of quantum mechanics, f-oscillators deformation for Moyal algebras, Nonlinear dynamics from linear quantum evolutions, Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices, THE SCHWINGER REPRESENTATION OF A GROUP: CONCEPT AND APPLICATIONS
