Configuration ray representations in non-Abelian quantum kinematics and dynamics

DOI10.1007/BF00672687zbMath0816.22007OpenAlexW2063891722MaRDI QIDQ1340328

V. Pereyra

Publication date: 16 January 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672687

zbMATH Keywords

Lie algebraquantum mechanicsregular representationphase functionssubrepresentationsnon-Abelian quantum kinematicsCartesian coordinate representationconfiguration ray representationsgeneralized noncommuting momentanoncompact non-Abelian Lie groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory (81R99) Applications of PDEs on manifolds (58J90)

Related Items (2)

Heuristic approach to non-Abelian quantum kinematics and dynamics in configuration spacetime ⋮ SU(2) quantum kinematics: Rotation-observable versus angular-momentum generalized commutation relations

Cites Work

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• Generalized enveloping algebras and quantum kinematic coherent states of noncompact Lie groups
• Lagrangian mechanics and the geometry of configuration spacetime
• On unitary ray representations of continuous groups
• Quantum kinematics and the Lie group structure of non-Abelian quantum mechanics
• Quantum kinematics of the harmonic oscillator
• Pedestrian approach to two-cocycles for unitary ray representations of Lie groups
• Non-Abelian group quantization and quantum kinematic invariants of some noncompact Lie groups
• On invariance groups and Lagrangian theories
• Quantum kinematics and boson ladder operators of nonAbelian noncompact Lie groups

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