Group quantization on configuration space

DOI10.1063/1.531384zbMath0860.22015arXivhep-th/9501085OpenAlexW3099800438MaRDI QIDQ5284370

Manuel Calixto, Miguel Ángel Navarro, Victor Aldaya

Publication date: 22 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9501085

zbMATH Keywords

configuration spacequantizationphase spacesymmetry groupelectromagnetic fieldsDirac fieldsquantizing group

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10)

Related Items (4)

SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION ⋮ Heuristic approach to non-Abelian quantum kinematics and dynamics in configuration spacetime ⋮ Group quantization on configuration space: Gauge symmetries and linear fields ⋮ Relativistic field equations from higher-order polarizations of the Poincaré group

Cites Work

• Algebraic quantization on a group and nonabelian constraints
• Covariant phase-space quantization of the induced \(2\)D gravity
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Quantization as a consequence of the symmetry group: An approach to geometric quantization
• Group manifold approach to field quantisation
• Lie algebras associated with generalized Cartan matrices

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