On some representations of the Poincaré group on phase space

DOI10.1063/1.524245zbMath0452.22023OpenAlexW4229593526MaRDI QIDQ3898704

Syed Twareque Ali

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524245

zbMATH Keywords

phase spacePoincaré grouprelativistic statistical mechanicsmassive particle

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) Induced representations for locally compact groups (22D30) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

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

Cites Work

• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Systems of imprimitivity and representations of quantum mechanics on fuzzy phase spaces

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