Jacobi group symmetry of Hamilton's mechanics

DOI10.1016/J.GEOMPHYS.2024.105249MaRDI QIDQ6596119

Stephen G. Low, Rutwig Campoamor Stursberg

Publication date: 2 September 2024

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

zbMATH Keywords

symplectic geometryJacobi groupHamilton equationsWeyl-Heisenberg groupnoninertial symmetryJacobi morphisms

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Canonical transformations in symplectic and contact geometry (53D22) Symplectic and canonical mappings (37J11) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• The theory of Jacobi forms
• Reciprocal relativity of noninertial frames and the quaplectic group
• Relativity group for noninertial frames in Hamilton’s mechanics
• Harmonic Analysis in Phase Space. (AM-122)
• Group Theory in Physics
• Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
• Quantum Theory, Groups and Representations

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