Lie symmetries and conserved quantities of rotational relativistic systems

DOI10.1007/BF02459036zbMath0972.70018MaRDI QIDQ1580401

Xiangwei Chen, Jing-li Fu, Shao-Kai Luo

Publication date: 13 November 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

nonholonomic systemsLie symmetriesholonomic systemsconserved quantityinfinitesimal transformation generatorsrotational relativistic dynamical equations

Mathematics Subject Classification ID

Special relativity (83A05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (1)

Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems

Cites Work

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• Rotational relativity theory
• The theory of relativistic analytical mechanics of the rotational systems
• Relativistic variation principles and equation of motion for variable mass controllable mechanical system
• Dynamical symmetries and conserved quantities

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