Jacobi group symmetry of Hamilton's mechanics

Jacobi group symmetry of Hamilton's mechanics

We show that diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom leaving invariant a symplectic 2-form and a degenerate orthogonal metric dt2, corresponding to the Newtonian time line element, locally satisfy Hamilton's equations up to the usua...

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Veröffentlicht in:Journal of geometry and physics 2024-09, Vol.203, p.105249, Article 105249
Hauptverfasser: Low, Stephen G., Campoamor-Stursberg, Rutwig
Format: Artikel
Sprache:eng
Schlagworte:
Hamilton equations
Jacobi group
Jacobi morphisms
Noninertial symmetry
Symplectic geometry
Weyl-Heisenberg group
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Zusammenfassung:We show that diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom leaving invariant a symplectic 2-form and a degenerate orthogonal metric dt2, corresponding to the Newtonian time line element, locally satisfy Hamilton's equations up to the usual canonical transformation on the position-momentum subspace.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2024.105249