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Noether conservation laws in classical mechanics - MaRDI portal

Noether conservation laws in classical mechanics

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Publication:6468865

arXivmath-ph/0302027MaRDI QIDQ6468865

G. Sardanashvily

Publication date: 11 February 2003

Abstract: In Lagrangian mechanics, Noether conservation laws including the energy one are obtained similarly to those in field theory. In Hamiltonian mechanics, Noether conservation laws are issued from the invariance of the Poincare-Cartan integral invariant under one-parameter groups of diffeomorphisms of a configuration space. Lagrangian and Hamiltonian conservation laws need not be equivalent.












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