The maximal invariance group of Newton’s equations for a free point particle
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Publication:3088702
DOI10.1119/1.1379736zbMath1219.70045arXivmath-ph/0102011OpenAlexW2033197628MaRDI QIDQ3088702
Publication date: 19 August 2011
Published in: American Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0102011
Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Foundations of fluid mechanics (76A02)
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Dynamics of interacting particles with \(\mathrm{SL}(2, \mathbb{R})\) symmetry ⋮ Computation of fluid flows in non-inertial contracting, expanding, and rotating reference frames ⋮ Generalized relativistic kinematics ⋮ Conservation laws for classical particles in anti-de Sitter-Beltrami space ⋮ Symmetries of discontinuous flows and the dual Rankine--Hugoniot conditions in fluid dynamics ⋮ Group theoretical formulation of free fall and projectile motion ⋮ Dynamical interpretation of nonrelativistic conformal groups
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