Semiclassical limit for the Binegar–Zierau quantization of the minimal nilpotent orbits of SOo(2p,2)

DOI10.1063/1.533152zbMath0973.22011OpenAlexW2067304967MaRDI QIDQ2737837

Salah Mehdi

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533152

zbMATH Keywords

unitary representationquantizationcoadjoint orbitsanti-de Sitter space-timeconformal grouporbit methodmassless particle

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Lie algebras of Lie groups (22E60)

Cites Work

• General concept of quantization
• The classical limit of quantum partition functions
• Analysis on real hyperbolic spaces
• Unitarization of a singular representation of \(\text{SO}(p,q)\)
• Harmonic analysis on hyperboloids
• Quantization of the nilpotent orbits in so(1,2)* and massless particles on (anti-)de Sitter space–time
• REPRESENTATIONS OF PSEUDO-ORTHOGONAL GROUPS ASSOCIATED WITH A CONE

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