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2006•Communications in Theoretical PhysicsRequires access

Noether–Mei Symmetry of Mechanical System in Phase Space

Fang Jian-Hui, Peng Wang, Ding Ning

Open publisher page 6 citations

Abstract

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e., a Noether–Mei symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the Mei conserved quantity deduced from the Noether–Mei symmetry of the system are obtained. Finally, two examples are given to illustrate the application of the results.

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What this paper is about

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e., a Noether–Mei symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the Mei conserved quantity deduced from the Noether–Mei symmetry of the system are obtained. Finally, two examples are given to illustrate the application of the results.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e., a Noether–Mei symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the Mei conserved quantity deduced from the Noether–Mei symmetry of the system are obtained. Finally, two examples are given to illustrate the application of the results.

Key concepts: Noether's theorem, Symmetry (geometry), Physics, Phase space, Mathematical physics, Phase (matter), Space (punctuation), Mechanical system

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