Particle dynamics on hyperboloid and unitary representation of \(\text{SO}(1,N)\) group.

DOI10.1016/S0370-2693(00)00116-7zbMath1049.81534arXivgr-qc/9912006OpenAlexW3100304255MaRDI QIDQ5929232

G. P. Dzhordzhadze, Włodzimierz Piechocki

Publication date: 18 April 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9912006

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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Cites Work

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• A relativistic particle in the Liouville field
• Practical scheme of reduction to gauge-invariant variables
• Hamiltonian reduction of unconstrained and constrained systems
• Foundations of Quantum Mechanics
• Massless particle in 2d spacetime with constant curvature
• Geometry of \(2\)d spacetime and quantization of particle dynamics

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