Algebras of observables of nearly canonical physical theories. II

DOI10.1007/BF01029108zbMath0586.47048MaRDI QIDQ1071288

G. K. Tolokonnikov

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl algebraquantizationvector bundlealgebras of observablesYang-Baxteraction of a Lie groupbinary Lie algebrascommutator Poisson bracketoperator multiplication

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutators, derivations, elementary operators, etc. (47B47) Infinite-dimensional Lie (super)algebras (17B65) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Miscellaneous applications of functional analysis (46N99)

Cites Work

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• Generalized free fields and models of local field theory
• Existence of surface conditions for nonclassical self-adjoint extensions of the Laplace operator
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Duality of observables and generators in classical and quantum mechnics
• Lie Group Dynamical Formalism and the Relation between Quantum Mechanics and Classical Mechanics

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