Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
arXiv:2302.01565 · doi:10.1016/j.geomphys.2023.104930
Abstract
The Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry is proposed. For an arbitrary half-integer value of the parameter l, the Hamilton and non-canonical Poisson brackets are found, in terms of which the original higher derivative equations of motion take the conventional Hamiltonian form. The full set of conserved charges is found and their algebra is established.
9 pages; v2: references added, typos corrected
References in corpus (25)
- Noncommutative Field Theory
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Perfect Fluid Theory and its Extensions
- Exotic Galilean Conformal Symmetry and its Dynamical Realisations
- Field-dependent symmetries of a non-relativistic fluid model
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
- Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry
- Radiation reaction in various dimensions
- Remarks on l-conformal extension of the Newton-Hooke algebra
- Galilean Conformal Mechanics from Nonlinear Realizations
- Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
- Dynamical realization of l-conformal Galilei algebra and oscillators
- Non-relativistic conformal symmetries in fluid mechanics
- Dynamical realizations of l-conformal Newton-Hooke group
- Nonrelativistic conformal groups and their dynamical realizations
- Symmetries of fluid dynamics with polytropic exponent
- Unitary Fermi gas, epsilon expansion, and nonrelativistic conformal field theories
- On dynamical realizations of l-conformal Galilei groups
- On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
- Ricci-flat spacetimes with l-conformal Galilei symmetry
- The group-theoretic approach to perfect fluid equations with conformal symmetry
- Equations of fluid dynamics with the l-conformal Galilei symmetry
- Remark on higher-derivative mechanics with l-conformal Galilei symmetry
Cited by in corpus (5)
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- Perfect fluid equations with N=1,2 Schrodinger supersymmetry
- Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry
- New dynamical realizations of the Lifshitz group