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Classical Physics
Mechanics
Conservation laws in Newtonian and Hamiltonian (symplectic) mechanics
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[QUOTE="vanhees71, post: 6218320, member: 260864"] Why do you think the Hamiltonian description is less general? On a fundamental level, it's the complete description of Newtonian mechanics, which is a mathematically closed system (in contradistinction to relativistic point-particle mechanics, which is not as complete, but that's another story). BTW: The most general form of the quoted Noether theorem (according to which each (global) one-parameter Lie symmetry defines a conserved quantity and vice versa) makes the much weaker assumption that only the variation of the action must stay invariant. This exhausts automatically the fact that for the dynamics of a given system the Hamiltonian is not unique, but there are many equivalent Hamiltonians describing the same system. [/QUOTE]
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Physics
Classical Physics
Mechanics
Conservation laws in Newtonian and Hamiltonian (symplectic) mechanics
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