On some representations of the Poincaré group on phase space. II

DOI10.1063/1.524461zbMath0487.22016OpenAlexW2063436312MaRDI QIDQ3947851

Syed Twareque Ali

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524461

zbMATH Keywords

phase space representationsreductionrelativistic quantum mechanicsgroup theoryPoincaré group

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) 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)

Related Items (3)

Mathematical problems of stochastic quantum mechanics: Harmonic analysis on phase space and quantum geometry ⋮ Extended harmonic analysis of phase space representations for the Galilei group ⋮ Harmonic analysis and systems of covariance for phase space representation of the Poincaré group

Cites Work

• Deformation theory and quantization. I: Deformations of symplectic structures
• On some representations of the Poincaré group on phase space
• Systems of imprimitivity and representations of quantum mechanics on fuzzy phase spaces
• Localized States for Elementary Systems

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