2002arXiv (Cornell University)Open access

Remark on conservation laws associated with non-Noether symmetries

George Chavchanidze

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Abstract

In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motion associated with continuous non-Noether symmetry are in involution whenever generator of the symmetry satisfies certain Yang-Baxter equation.

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In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motion associated with continuous non-Noether symmetry are in involution whenever generator of the symmetry satisfies certain Yang-Baxter equation.

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Available abstract

In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motion associated with continuous non-Noether symmetry are in involution whenever generator of the symmetry satisfies certain Yang-Baxter equation.

Key concepts: Noether's theorem, Conservation law, Homogeneous space, Mathematical physics, Symmetry (geometry), Hamiltonian (control theory), Involution (esoterism), Conserved current

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