Generalized enveloping algebras and quantum kinematic coherent states of noncompact Lie groups

DOI10.1007/BF00675199zbMath0801.22015WikidataQ115394947 ScholiaQ115394947MaRDI QIDQ689304

M. C. Fu

Publication date: 30 November 1993

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

zbMATH Keywords

coherent statesladder operatorsadjoint representationleft regular representationgeneralized enveloping algebrasgeneralized Heisenberg commutation relationsnon-Abelian quantum kinematicsnoncompact Lie groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

Configuration ray representations in non-Abelian quantum kinematics and dynamics ⋮ 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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• Some consequences of analyticity and unitarity conditions in scattering problems. I, II
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• Quantum kinematics of the harmonic oscillator
• Symmetries of Baryons and Mesons
• Non-Abelian group quantization and quantum kinematic invariants of some noncompact Lie groups
• A general setting for Casimir invariants
• Continuous subgroups of the fundamental groups of physics. II. The similitude group

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