Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra

DOI10.1063/1.1634352zbMath1070.81077OpenAlexW2028391888WikidataQ115334019 ScholiaQ115334019MaRDI QIDQ4833326

Jean-Marie Maillard

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1634352

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10)

Related Items (3)

Least uncertainty principle in deformation quantization ⋮ Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Orderings and non-formal deformation quantization

Cites Work

• Star-product approach to quantum field theory: The free scalar field
• Star exponentials of the elements of the inhomogeneous symplectic Lie algebra
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• On the twisted convolution product and the Weyl transformation of tempered distributions
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators

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