Groups of canonical transformations and the virial-Noether theorem

DOI10.1016/0393-0440(86)90012-4zbMath0619.70016OpenAlexW2053818308MaRDI QIDQ1090114

André F. Verbeure, Bruno Nachtergaele

Publication date: 1986

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(86)90012-4

zbMATH Keywords

Hamiltonian vector fieldinfinitesimal generatortime evolutiondilationsNoether's theoremvirial theoremcanonical two-formone-parameter groups of canonical transformationsone-parameter Lie groups of transformationsscale-translation transformation groupsymplectic structure form invariantToda lattice system

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Other variational principles in mechanics (70H30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Generating functions, bi-Hamiltonian systems, and the quadratic-Hamiltonian theorem

Cites Work

• Transformation groups and the virial theorem
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