Star exponentials of the elements of the inhomogeneous symplectic Lie algebra

DOI10.1007/BF00405871zbMath0516.58018OpenAlexW2050681344WikidataQ115395020 ScholiaQ115395020MaRDI QIDQ1052711

Francois Bayen, Jean-Marie Maillard

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00405871

zbMATH Keywords

Poisson bracketMoyal star productquantization in phase spaceWeyl map

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold ⋮ Non-formal star-exponential on contracted one-sheeted hyperboloids ⋮ Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups ⋮ Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra ⋮ Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra ⋮ Unnamed Item ⋮ Orderings and non-formal deformation quantization ⋮ On the twisted convolution product and the Weyl transformation of tempered distributions

Cites Work

• Some ideas about quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• Expression explicite de l'exponentielle gauche pour les éléments finis du groupe symplectique inhomogene

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