Duality of observables and generators in classical and quantum mechnics

DOI10.1063/1.1666726zbMath0287.17003OpenAlexW1996518278MaRDI QIDQ4773841

Aage Petersen, Emil Grgin

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666726

Mathematics Subject Classification ID

Simple, semisimple Jordan algebras (17C20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (14)

A deficiency of Weinberg's quantum mechanics ⋮ Classification of nearly associative function algebras by the method of functional equations ⋮ Axiomatics of general Hamiltonian theories including classical and quantum ones as particular cases ⋮ Combined algebra for quantum and classical mechanics ⋮ Gleason’s theorem for composite systems ⋮ On admissible forms of canonical mechanics ⋮ Homotopy approach to quantum gravity ⋮ The twofold role of observables in classical and quantum kinematics ⋮ Algebraic implications of composability of physical systems ⋮ Hamiltonian algebras ⋮ Higher-order interference and single-system postulates characterizing quantum theory ⋮ Poisson Spaces with a Transition Probability ⋮ Algebras of observables of nearly canonical physical theories. I ⋮ Algebras of observables of nearly canonical physical theories. II

Cites Work

• Phase-Space Formulation of the Dynamics of Canonical Variables

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